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Deck 9: Section 8: Infinite Series
Full screen (f)
Question
Consider the function given by 
. Find the interval of convergence for 
.
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
Question
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the graph of the first 10 terms of the sequence of partial sum of the series 
for 
.
A)
B)
C)
D)
E)
for .A)
B)
C)
D)
E)
Question
Find the radius of convergence of the power series. 
A)
B) 16
C) 64
D) 0
E) 8
A)
B) 16
C) 64
D) 0
E) 8
Question
Find the interval of convergence of the power series 
. (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
. (Be sure to include a check for convergence at the endpoints of the interval.)A)
B)
C)
D)
E)
Question
Find the radius of convergence of the power series. 
A)
B)
C) 5
D)
E) 25
A)
B)
C) 5
D)
E) 25
Question
State where the power series 
is centered.
A) 0
B) -3
C) 2
D) 3
E) -2
is centered.A) 0
B) -3
C) 2
D) 3
E) -2
Question
State where the power series 
is centered.
A) 1
B)
C) 0
D) 11
E) -11
is centered.A) 1
B)
C) 0
D) 11
E) -11
Question
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Consider the function given by 
. Find the interval of convergence for 
.
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
Question
Write an equivalent series of the series 
with the index of summation beginning at 
.
A)
B)
C)
D)
E)
with the index of summation beginning at .A)
B)
C)
D)
E)
Question
Consider the function given by 
. Find the interval of convergence for 
.
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
Question
Find the differential equation having the solution 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write an equivalent series of the series 
with the index of summation beginning at 
.
A)
B)
C)
D)
E)
with the index of summation beginning at .A)
B)
C)
D)
E)
Question
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the interval of convergence of the power series 
. (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
. (Be sure to include a check for convergence at the endpoints of the interval.)A)
B)
C)
D)
E)
Question
Consider the function given by 
. Find the interval of convergence for 
.
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
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Deck 9: Section 8: Infinite Series
1
Consider the function given by . Find the interval of convergence for .
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
2
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Identify the graph of the first 10 terms of the sequence of partial sum of the series for .
A)
B)
C)
D)
E)
for .A)
B)
C)
D)
E)
4
Find the radius of convergence of the power series.
A)
B) 16
C) 64
D) 0
E) 8
A)
B) 16
C) 64
D) 0
E) 8
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5
Find the interval of convergence of the power series . (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
. (Be sure to include a check for convergence at the endpoints of the interval.)A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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6
Find the radius of convergence of the power series.
A)
B)
C) 5
D)
E) 25
A)
B)
C) 5
D)
E) 25
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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7
State where the power series is centered.
A) 0
B) -3
C) 2
D) 3
E) -2
is centered.A) 0
B) -3
C) 2
D) 3
E) -2
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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8
State where the power series is centered.
A) 1
B)
C) 0
D) 11
E) -11
is centered.A) 1
B)
C) 0
D) 11
E) -11
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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9
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
10
Consider the function given by . Find the interval of convergence for .
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
11
Write an equivalent series of the series with the index of summation beginning at .
A)
B)
C)
D)
E)
with the index of summation beginning at .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
12
Consider the function given by . Find the interval of convergence for .
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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13
Find the differential equation having the solution .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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14
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
15
Write an equivalent series of the series with the index of summation beginning at .
A)
B)
C)
D)
E)
with the index of summation beginning at .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
16
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
17
Find the interval of convergence of the power series . (Be sure to include a check for convergence at the endpoints of the interval.)
A)
B)
C)
D)
E)
. (Be sure to include a check for convergence at the endpoints of the interval.)A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
18
Consider the function given by . Find the interval of convergence for .
A)
B)
C)
D)
E)
. Find the interval of convergence for .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
