Question 1

The radius of convergence of  is:
A)  .
B)  .
C)  .
D)  .
E)  .

Accepted Answer

The answer of The radius of convergence of  is:
A)...

Question 2

Use the Root Test to determine if the following series converge.
A)  
B)  
C)

Accepted Answer

The answer of Use the Root Test to determine if...

Question 3

Does the series  converge or diverge?

Accepted Answer

The answer of Does the series  converge or diverge?...

Question 4

Use the Ratio Test to determine if the following series converge.
A)  
B)  
C)

Accepted Answer

The answer of Use the Ratio Test to determine if...

Question 5

Use the formula for geometric series to expand the function  in a power series with center  . Determine the values of  for which the expansion is valid.

Accepted Answer

The answer of Use the formula for geometric series to...

Question 6

Find the values of  for which the series  converges.

Accepted Answer

The answer of Find the values of  for which...

Question 7

The values of  for which the series  converges are:
A)  .
B)  .
C)  .
D)  .
E)  .

Accepted Answer

The answer of The values of  for which the...

Question 8

Use the Ratio Test to determine if the following series converge.
A)  
B)  
C)

Accepted Answer

The answer of Use the Ratio Test to determine if...

Question 9

Does the series  converge or diverge?

Accepted Answer

The answer of Does the series  converge or diverge?...

Question 10

The values of  at which the series  converges are:
A)  .
B)  .
C)  .
D)  .
E)  .

Accepted Answer

The answer of The values of  at which the...

Question 11

Does the series  ?converge or diverge

Accepted Answer

The answer of Does the series  ?converge or diverge...

Question 12

Use the Root Test to determine if the following series converge.
A)  (  ) 
B)  
C)

Accepted Answer

The answer of Use the Root Test to determine if...

Question 13

Find the values of  for which the series  converges.

Accepted Answer

The answer of Find the values of  for which...

Question 14

Determine whether the series is conditionally convergent, absolutely convergent, or divergent.
A)  
B)

Accepted Answer

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Question 15

Let  . 
A) Find the values of  for which the series is convergent. 
B) Find the series for  .

Accepted Answer

The answer of Let  . 
A) Find the values...

Question 16

Does the series  converge or diverge?

Accepted Answer

The answer of Does the series  converge or diverge?...

Question 17

Does the series  converge or diverge?

Accepted Answer

The answer of Does the series  converge or diverge?...

Question 18

Find the exact intervals on which the series converge.
A)  
B)  
C)

Accepted Answer

The answer of Find the exact intervals on which the...

Question 19

Use the Root Test to determine if the following series converge.
A)  
B)  
C)

Accepted Answer

The answer of Use the Root Test to determine if...

Question 20

If  , then which of the following holds?
A) The series  converges.
B) The series  converges.
C) If  converges, then it converges absolutely.
D) The sequence of partial sums of  is bounded.
E) B and D both hold.

Accepted Answer

The answer of If  , then which of the...

Quiz 11: Infinite Series

The radius of convergence of is:

Use the Root Test to determine if the following series converge. A) B) C)

Does the series converge or diverge?

Use the Ratio Test to determine if the following series converge. A) B) C)

Use the formula for geometric series to expand the function in a power series with center . Determine the values of for which the expansion is valid.

Find the values of for which the series converges.

The values of for which the series converges are:

Use the Ratio Test to determine if the following series converge. A) B) C)

Does the series converge or diverge?

The values of at which the series converges are:

Does the series ?converge or diverge

Use the Root Test to determine if the following series converge. A) ( ) B) C)

Find the values of for which the series converges.

Determine whether the series is conditionally convergent, absolutely convergent, or divergent. A) B)

Let . A) Find the values of for which the series is convergent. B) Find the series for .

Does the series converge or diverge?

Does the series converge or diverge?

Find the exact intervals on which the series converge. A) B) C)

Use the Root Test to determine if the following series converge. A) B) C)

If , then which of the following holds?