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Deck 3: Limits and Continuity
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Question
Find the slope of the curve at the given point P and an equation of the tangent line at P.
Question
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 2
B) 5
C) 0
D) 1
A) 2
B) 5
C) 0
D) 1
Question
Find the slope of the curve at the given point P and an equation of the tangent line at P.
Question
Find the average rate of change of the function over the given interval.
Question
Find the average rate of change of the function over the given interval.
Question
Find the average rate of change of the function over the given interval.
Question
Find the average rate of change of the function over the given interval.
Question
Find the slope of the curve at the given point P and an equation of the tangent line at P.
Question
Find the average rate of change of the function over the given interval.
Question
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
Question
Find the average rate of change of the function over the given interval.
Question
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 7.5
B) 3.75
C) 1.25
D) 0
A) 7.5
B) 3.75
C) 1.25
D) 0
Question
Use the table to estimate the rate of change of y at the specified value of x.
Question
Find the average rate of change of the function over the given interval.
Question
Find the slope of the curve at the given point P and an equation of the tangent line at P.
Question
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 2
B) 0
C) 4
D) 6
A) 2
B) 0
C) 4
D) 6
Question
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 0
B) 6
C) 4
D) 3
A) 0
B) 6
C) 4
D) 3
Question
Find the average rate of change of the function over the given interval.
Question
Find the slope of the curve at the given point P and an equation of the tangent line at P.
Question
Use the table to estimate the rate of change of y at the specified value of x.
Question
Use the graph to evaluate the limit.
A) 6
B) does not exist
C) -1
D) 0
A) 6
B) does not exist
C) -1
D) 0
Question
Use the graph to evaluate the limit.
Question
Use the graph to evaluate the limit.
A) -2
B) does not exist
C) 2
D) 0
A) -2
B) does not exist
C) 2
D) 0
Question
Find the limit.
A) -18
B) 18
C) 0
D) does not exist
A) -18
B) 18
C) 0
D) does not exist
Question
Use the graph to evaluate the limit.
A) -1
B) does not exist
C) 0
D) 1
A) -1
B) does not exist
C) 0
D) 1
Question
Use the table to estimate the rate of change of y at the specified value of x.
Question
Find the limit.
A) 59
B) -49
C) 14
D) 5
A) 59
B) -49
C) 14
D) 5
Question
Find the limit.
A) 5
B) does not exist
C) -5
D) 0
A) 5
B) does not exist
C) -5
D) 0
Question
Use the table to estimate the rate of change of y at the specified value of x.
Question
Use the table to estimate the rate of change of y at the specified value of x.
Question
Find the limit.
A) 0
B) 2
C) does not exist
D) -2
A) 0
B) 2
C) does not exist
D) -2
Question
Use the graph to evaluate the limit.
A) 0
B) does not exist
C) -2
D) 2
A) 0
B) does not exist
C) -2
D) 2
Question
Use the graph to evaluate the limit.
A) -2
B) 0
C) does not exist
D) 1
A) -2
B) 0
C) does not exist
D) 1
Question
Use the graph to evaluate the limit.
Question
Solve the problem.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times.
Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change of
Ripening time with respect to exposure time. Round your answer to two significant digits.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times.
Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change ofRipening time with respect to exposure time. Round your answer to two significant digits.
Question
Solve the problem.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times:
Plot the data and then find a line approximating the data. With the aid of this line, find the limit of the average ripening
Time as the exposure time to ethylene approaches 0. Round your answer to the nearest tenth.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times:
Plot the data and then find a line approximating the data. With the aid of this line, find the limit of the average ripeningTime as the exposure time to ethylene approaches 0. Round your answer to the nearest tenth.
Question
Use the graph to evaluate the limit.
A) -1
B) 2
C) does not exist
D) -2
A) -1
B) 2
C) does not exist
D) -2
Question
Use the graph to evaluate the limit.
Question
Solve the problem.
Estimate the average rate of change in tuberculosis deaths from 1996 to 1998.
A) About -0.5 deaths per year
B) About -90 deaths per year
C) About -50 deaths per year
D) About -20 deaths per year
Estimate the average rate of change in tuberculosis deaths from 1996 to 1998.A) About -0.5 deaths per year
B) About -90 deaths per year
C) About -50 deaths per year
D) About -20 deaths per year
Question
Use the graph to evaluate the limit.
A) 2
B) -2
C) does not exist
D) 0
A) 2
B) -2
C) does not exist
D) 0
Question
Find the limit.
A) does not exist
B) 3
C) ±3
D) 9
A) does not exist
B) 3
C) ±3
D) 9
Question
Find the limit, if it exists.
A) 0
B) 6
C) Does not exist
D) -6
A) 0
B) 6
C) Does not exist
D) -6
Question
Find the limit if it exists.
Question
Find the limit, if it exists.
A) 0
B) 5
C) -8
D) Does not exist
A) 0
B) 5
C) -8
D) Does not exist
Question
Find the limit, if it exists.
Question
Find the limit if it exists.
A) 243
B) -9
C) -1
D) 27
A) 243
B) -9
C) -1
D) 27
Question
Find the limit if it exists.
A) 73
B) -73
C) -67
D) 67
A) 73
B) -73
C) -67
D) 67
Question
Find the limit.
A) does not exist
B) 0
C) 29
D) 15
A) does not exist
B) 0
C) 29
D) 15
Question
Find the limit if it exists.
A) 330
B) -4290
C) -330
D) 30
A) 330
B) -4290
C) -330
D) 30
Question
Find the limit, if it exists.
Question
Find the limit if it exists.
A) 9
B) 81
C) 27
D) -27
A) 9
B) 81
C) 27
D) -27
Question
Find the limit.
Question
Find the limit if it exists.
A) 226
B) 158
C) 178
D) 206
A) 226
B) 158
C) 178
D) 206
Question
Find the limit.
A) 47
B) -161
C) -33
D) -97
A) 47
B) -161
C) -33
D) -97
Question
Find the limit, if it exists.
A) 0
B) 8
C) Does not exist
D) 16
A) 0
B) 8
C) Does not exist
D) 16
Question
Find the limit if it exists.
Question
Find the limit if it exists.
Question
Find the limit if it exists.
Question
Find the limit, if it exists.
A) Does not exist
B) 0
C) -4
D) 4
A) Does not exist
B) 0
C) -4
D) 4
Question
Find the limit if it exists.
A) -66
B) -60
C) 66
D) 60
A) -66
B) -60
C) 66
D) 60
Question
Find the limit, if it exists.
A) Does not exist
B) 0
C) 5
D) 10
A) Does not exist
B) 0
C) 5
D) 10
Question
Provide an appropriate response.
Question
Find the limit, if it exists.
Question
Find the limit, if it exists.
A) -1
B) 5
C) 0
D) Does not exist
A) -1
B) 5
C) 0
D) Does not exist
Question
Find the limit, if it exists.
A) Does not exist
B) 0
C) 4
D) 2
A) Does not exist
B) 0
C) 4
D) 2
Question
Find the limit, if it exists.
A) 2
B) 0
C) 4
D) Does not exist
A) 2
B) 0
C) 4
D) Does not exist
Question
Provide an appropriate response.
Question
Find the limit.
Question
Find the limit, if it exists.
A) 8
B) 4
C) Does not exist
D) 1
A) 8
B) 4
C) Does not exist
D) 1
Question
Find the limit, if it exists.
Question
Find the limit, if it exists.
A) Does not exist
B) 1/2
C) 1
D) 2
A) Does not exist
B) 1/2
C) 1
D) 2
Question
Find the limit, if it exists.
A) -1
B) Does not exist
C) 0
D) 1
A) -1
B) Does not exist
C) 0
D) 1
Question
Find the limit, if it exists.
A) Does not exist
B) 5
C) 0
D) - 4
A) Does not exist
B) 5
C) 0
D) - 4
Question
Provide an appropriate response.
Question
Find the limit, if it exists.
Question
Find the limit.
A) 5
B) 0
C) 5 - 1
D) -1
A) 5
B) 0
C) 5 - 1
D) -1
Question
Find the limit.
Question
Find the limit, if it exists.
Question
Find the limit, if it exists.
A) 72
B) Does not exist
C) 1
D) 9
A) 72
B) Does not exist
C) 1
D) 9
Question
Find the limit, if it exists.
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Deck 3: Limits and Continuity
1
Find the slope of the curve at the given point P and an equation of the tangent line at P.
A
2
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 2
B) 5
C) 0
D) 1
A) 2
B) 5
C) 0
D) 1
A
3
Find the slope of the curve at the given point P and an equation of the tangent line at P.
B
4
Find the average rate of change of the function over the given interval.
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5
Find the average rate of change of the function over the given interval.
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6
Find the average rate of change of the function over the given interval.
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7
Find the average rate of change of the function over the given interval.
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8
Find the slope of the curve at the given point P and an equation of the tangent line at P.
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8
Find the average rate of change of the function over the given interval.
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9
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
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10
Find the average rate of change of the function over the given interval.
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11
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 7.5
B) 3.75
C) 1.25
D) 0
A) 7.5
B) 3.75
C) 1.25
D) 0
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12
Use the table to estimate the rate of change of y at the specified value of x.
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13
Find the average rate of change of the function over the given interval.
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14
Find the slope of the curve at the given point P and an equation of the tangent line at P.
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15
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 2
B) 0
C) 4
D) 6
A) 2
B) 0
C) 4
D) 6
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16
Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
A) 0
B) 6
C) 4
D) 3
A) 0
B) 6
C) 4
D) 3
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17
Find the average rate of change of the function over the given interval.
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18
Find the slope of the curve at the given point P and an equation of the tangent line at P.
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19
Use the table to estimate the rate of change of y at the specified value of x.
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20
Use the graph to evaluate the limit.
A) 6
B) does not exist
C) -1
D) 0
A) 6
B) does not exist
C) -1
D) 0
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21
Use the graph to evaluate the limit.
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22
Use the graph to evaluate the limit.
A) -2
B) does not exist
C) 2
D) 0
A) -2
B) does not exist
C) 2
D) 0
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23
Find the limit.
A) -18
B) 18
C) 0
D) does not exist
A) -18
B) 18
C) 0
D) does not exist
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24
Use the graph to evaluate the limit.
A) -1
B) does not exist
C) 0
D) 1
A) -1
B) does not exist
C) 0
D) 1
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25
Use the table to estimate the rate of change of y at the specified value of x.
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26
Find the limit.
A) 59
B) -49
C) 14
D) 5
A) 59
B) -49
C) 14
D) 5
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27
Find the limit.
A) 5
B) does not exist
C) -5
D) 0
A) 5
B) does not exist
C) -5
D) 0
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28
Use the table to estimate the rate of change of y at the specified value of x.
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29
Use the table to estimate the rate of change of y at the specified value of x.
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30
Find the limit.
A) 0
B) 2
C) does not exist
D) -2
A) 0
B) 2
C) does not exist
D) -2
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31
Use the graph to evaluate the limit.
A) 0
B) does not exist
C) -2
D) 2
A) 0
B) does not exist
C) -2
D) 2
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32
Use the graph to evaluate the limit.
A) -2
B) 0
C) does not exist
D) 1
A) -2
B) 0
C) does not exist
D) 1
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33
Use the graph to evaluate the limit.
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34
Solve the problem.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times. Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change of
Ripening time with respect to exposure time. Round your answer to two significant digits.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times.
Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change ofRipening time with respect to exposure time. Round your answer to two significant digits.
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35
Solve the problem.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times: Plot the data and then find a line approximating the data. With the aid of this line, find the limit of the average ripening
Time as the exposure time to ethylene approaches 0. Round your answer to the nearest tenth.
When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of
Bananas for several different ethylene exposure times:
Plot the data and then find a line approximating the data. With the aid of this line, find the limit of the average ripeningTime as the exposure time to ethylene approaches 0. Round your answer to the nearest tenth.
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36
Use the graph to evaluate the limit.
A) -1
B) 2
C) does not exist
D) -2
A) -1
B) 2
C) does not exist
D) -2
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37
Use the graph to evaluate the limit.
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38
Solve the problem.
Estimate the average rate of change in tuberculosis deaths from 1996 to 1998.
A) About -0.5 deaths per year
B) About -90 deaths per year
C) About -50 deaths per year
D) About -20 deaths per year
Estimate the average rate of change in tuberculosis deaths from 1996 to 1998.A) About -0.5 deaths per year
B) About -90 deaths per year
C) About -50 deaths per year
D) About -20 deaths per year
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39
Use the graph to evaluate the limit.
A) 2
B) -2
C) does not exist
D) 0
A) 2
B) -2
C) does not exist
D) 0
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40
Find the limit.
A) does not exist
B) 3
C) ±3
D) 9
A) does not exist
B) 3
C) ±3
D) 9
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41
Find the limit, if it exists.
A) 0
B) 6
C) Does not exist
D) -6
A) 0
B) 6
C) Does not exist
D) -6
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42
Find the limit if it exists.
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43
Find the limit, if it exists.
A) 0
B) 5
C) -8
D) Does not exist
A) 0
B) 5
C) -8
D) Does not exist
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44
Find the limit, if it exists.
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45
Find the limit if it exists.
A) 243
B) -9
C) -1
D) 27
A) 243
B) -9
C) -1
D) 27
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46
Find the limit if it exists.
A) 73
B) -73
C) -67
D) 67
A) 73
B) -73
C) -67
D) 67
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47
Find the limit.
A) does not exist
B) 0
C) 29
D) 15
A) does not exist
B) 0
C) 29
D) 15
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48
Find the limit if it exists.
A) 330
B) -4290
C) -330
D) 30
A) 330
B) -4290
C) -330
D) 30
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49
Find the limit, if it exists.
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50
Find the limit if it exists.
A) 9
B) 81
C) 27
D) -27
A) 9
B) 81
C) 27
D) -27
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51
Find the limit.
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52
Find the limit if it exists.
A) 226
B) 158
C) 178
D) 206
A) 226
B) 158
C) 178
D) 206
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53
Find the limit.
A) 47
B) -161
C) -33
D) -97
A) 47
B) -161
C) -33
D) -97
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54
Find the limit, if it exists.
A) 0
B) 8
C) Does not exist
D) 16
A) 0
B) 8
C) Does not exist
D) 16
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55
Find the limit if it exists.
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56
Find the limit if it exists.
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57
Find the limit if it exists.
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58
Find the limit, if it exists.
A) Does not exist
B) 0
C) -4
D) 4
A) Does not exist
B) 0
C) -4
D) 4
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59
Find the limit if it exists.
A) -66
B) -60
C) 66
D) 60
A) -66
B) -60
C) 66
D) 60
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60
Find the limit, if it exists.
A) Does not exist
B) 0
C) 5
D) 10
A) Does not exist
B) 0
C) 5
D) 10
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61
Provide an appropriate response.
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62
Find the limit, if it exists.
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63
Find the limit, if it exists.
A) -1
B) 5
C) 0
D) Does not exist
A) -1
B) 5
C) 0
D) Does not exist
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
64
Find the limit, if it exists.
A) Does not exist
B) 0
C) 4
D) 2
A) Does not exist
B) 0
C) 4
D) 2
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
65
Find the limit, if it exists.
A) 2
B) 0
C) 4
D) Does not exist
A) 2
B) 0
C) 4
D) Does not exist
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
66
Provide an appropriate response.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
67
Find the limit.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
68
Find the limit, if it exists.
A) 8
B) 4
C) Does not exist
D) 1
A) 8
B) 4
C) Does not exist
D) 1
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
69
Find the limit, if it exists.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
70
Find the limit, if it exists.
A) Does not exist
B) 1/2
C) 1
D) 2
A) Does not exist
B) 1/2
C) 1
D) 2
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
71
Find the limit, if it exists.
A) -1
B) Does not exist
C) 0
D) 1
A) -1
B) Does not exist
C) 0
D) 1
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
72
Find the limit, if it exists.
A) Does not exist
B) 5
C) 0
D) - 4
A) Does not exist
B) 5
C) 0
D) - 4
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
73
Provide an appropriate response.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
74
Find the limit, if it exists.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
75
Find the limit.
A) 5
B) 0
C) 5 - 1
D) -1
A) 5
B) 0
C) 5 - 1
D) -1
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
76
Find the limit.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
77
Find the limit, if it exists.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
78
Find the limit, if it exists.
A) 72
B) Does not exist
C) 1
D) 9
A) 72
B) Does not exist
C) 1
D) 9
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
79
Find the limit, if it exists.
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 328 flashcards in this deck.
