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Exam 11: Bridges to Calculus - an Introduction to Limits

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Exam 1: Equations and Inequalities107 Questionsadd course
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Exam 11: Bridges to Calculus - an Introduction to Limits40 Questionsadd course
Exam 12: Review of Basic Concepts and Skills112 Questionsadd course
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Use a table of values to evaluate the function as x approaches the value indicated. If the function seems to approach a limiting value, write the relationship using limit notation. Use a table of values to evaluate the function as x approaches the value indicated. If the function seems to approach a limiting value, write the relationship using limit notation. ; x \rarr 0 ; x →\rarr 0

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Question 1
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C

See if a table of values suggests a limit for the function and approach indicated. See if a table of values suggests a limit for the function and approach indicated. as x \rarr 4 from the right as x →\rarr 4 from the right

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Question 2
Correct Answer:
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B

Use the graphs of f and g to evaluate the limits necessary to complete the calculation. If the computation is not possible, state why. f (x) g (x) Use the graphs of f and g to evaluate the limits necessary to complete the calculation. If the computation is not possible, state why. f (x) g (x) Use the graphs of f and g to evaluate the limits necessary to complete the calculation. If the computation is not possible, state why. f (x) g (x) Use the graphs of f and g to evaluate the limits necessary to complete the calculation. If the computation is not possible, state why. f (x) g (x)

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Question 3
Correct Answer:
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A

Evaluate the limits using a table of values. Given Evaluate the limits using a table of values. Given , find: I. ii. , find: I. Evaluate the limits using a table of values. Given , find: I. ii. ii. Evaluate the limits using a table of values. Given , find: I. ii.

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Question 4

Evaluate the limit using the limit properties. Evaluate the limit using the limit properties.

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Question 5

Find the limit of the difference quotient for the function f (x) given, to obtain a function Find the limit of the difference quotient for the function f (x) given, to obtain a function that represents the instantaneous rate of change at x for the function. that represents the instantaneous rate of change at x for the function. Find the limit of the difference quotient for the function f (x) given, to obtain a function that represents the instantaneous rate of change at x for the function.

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Question 6

Evaluate the limit using the limit properties. Evaluate the limit using the limit properties.

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Question 7

Evaluate the limit using the limit properties. Evaluate the limit using the limit properties.

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Question 8

Evaluate the limit using a table of values. Given Evaluate the limit using a table of values. Given , find . , find Evaluate the limit using a table of values. Given , find . .

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Question 9

Use a table of values to evaluate the following limit at negative infinity. Use a table of values to evaluate the following limit at negative infinity.

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Question 10

Find the limit of the difference quotient of the given function f (x) to obtain a function Find the limit of the difference quotient of the given function f (x) to obtain a function that represents the slope of a line drawn tangent to the curve at x. Use the results to find the slope of the line tangent to the graph of f (x) at x = -3. that represents the slope of a line drawn tangent to the curve at x. Use the results to find the slope of the line tangent to the graph of f (x) at x = -3. Find the limit of the difference quotient of the given function f (x) to obtain a function that represents the slope of a line drawn tangent to the curve at x. Use the results to find the slope of the line tangent to the graph of f (x) at x = -3.

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Question 11

Find the limit of the difference quotient for the function f (x) given, to obtain a function Find the limit of the difference quotient for the function f (x) given, to obtain a function that represents the instantaneous rate of change at x for the function. that represents the instantaneous rate of change at x for the function. Find the limit of the difference quotient for the function f (x) given, to obtain a function that represents the instantaneous rate of change at x for the function.

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Question 12

Evaluate the limits using a table of values. Given Evaluate the limits using a table of values. Given , find: I. ii. iii. , find: I. Evaluate the limits using a table of values. Given , find: I. ii. iii. ii. Evaluate the limits using a table of values. Given , find: I. ii. iii. iii. Evaluate the limits using a table of values. Given , find: I. ii. iii.

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Question 13

Find the area under the curve for the function and interval given, using the rectangle method and n subintervals of equal width. Find the area under the curve for the function and interval given, using the rectangle method and n subintervals of equal width. , , Find the area under the curve for the function and interval given, using the rectangle method and n subintervals of equal width. ,

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Question 14

Evaluate the limits using limit properties. If a limit does not exist, state why. Evaluate the limits using limit properties. If a limit does not exist, state why.

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Question 15

Evaluate the limits using a table of values. Given Evaluate the limits using a table of values. Given , find: I. ii. iii. , find: I. Evaluate the limits using a table of values. Given , find: I. ii. iii. ii. Evaluate the limits using a table of values. Given , find: I. ii. iii. iii. Evaluate the limits using a table of values. Given , find: I. ii. iii.

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Question 16

Evaluate the limit using the limit properties. Evaluate the limit using the limit properties.

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Question 17

Evaluate the limit using the limit properties. Evaluate the limit using the limit properties.

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Question 18

Find the limit of the difference quotient for the function f (x) given, to obtain a function Find the limit of the difference quotient for the function f (x) given, to obtain a function that represents the instantaneous rate of change at x for the function. that represents the instantaneous rate of change at x for the function. Find the limit of the difference quotient for the function f (x) given, to obtain a function that represents the instantaneous rate of change at x for the function.

(Multiple Choice)
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Question 19

Use a table of values to evaluate the following limit at positive infinity. Use a table of values to evaluate the following limit at positive infinity.

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Question 20
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