Question 1

Determine whether or not the following series converges.

Accepted Answer

A)  Diverges 
B)  Converges 
C)  Cannot Determine 
A)  Diverges 
B)  Converges 
C)  Cannot Determine A

Question 2

Determine whether or not the following series converges.

Accepted Answer

A)  Converges 
B)  Diverges 
C)  Cannot be determined 
A)  Converges 
B)  Diverges 
C)  Cannot be determined B

Question 3

Determine whether or not the following sequence converges. If it does converge, what is its limit? Enter "Yes" if the sequence converges, and "No" if it does not.

Accepted Answer

Yes, 0

Question 4

Use a series to approximate   to three decimal-place accuracy.

Accepted Answer

The answer of Use a series to approximate  ...

Question 5

Find the Taylor polynomial of order 4 for the function   centered at   .

Accepted Answer

The answer of Find the Taylor polynomial of order 4...

Question 6

Determine whether or not the following series converges.

Accepted Answer

A)  Converges 
B)  Diverges 
C)  Cannot be determined 
A)  Converges 
B)  Diverges 
C)  Cannot be determined

Question 7

Find the Taylor polynomial of order 2 for   , centered about   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Determine whether or not the following series converges.

Accepted Answer

A)  Converges 
B)  Diverges 
C)  Cannot be determined 
A)  Converges 
B)  Diverges 
C)  Cannot be determined

Question 9

Use a suitable Maclaurin Series to estimate   to five decimal place accuracy.

Accepted Answer

A)  1.00129 
B)  1.00119 
C)  1.00134 
D)  1.00124 
E)  1.00114 
A)  1.00129 
B)  1.00119 
C)  1.00134 
D)  1.00124 
E)  1.00114

Question 10

Determine whether or not the following series converges. If it converges, find its sum.

Accepted Answer

A)    
B)    
C)    
D)  12 
E)  Diverges 
A)    
B)    
C)    
D)  12 
E)  Diverges

Question 11

Determine whether or not the following series converges.

Accepted Answer

A)  Converges 
B)  Diverges 
C)  Cannot be determined 
A)  Converges 
B)  Diverges 
C)  Cannot be determined

Question 12

Use a suitable Maclaurin Series to estimate   to five decimal place accuracy.

Accepted Answer

A)  0.99993 
B)  0.99983 
C)  0.99998 
D)  0.99988 
E)  0.99978 
A)  0.99993 
B)  0.99983 
C)  0.99998 
D)  0.99988 
E)  0.99978

Question 13

Find the Maclaurin polynomial of order 2 for   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Determine whether or not the following series converges. If it converges, find its sum.

Accepted Answer

The answer of Determine whether or not the following series...

Question 15

Determine whether or not the following series converges. Enter 'Yes' if the series converges, and 'No' if it diverges.

Accepted Answer

The answer of Determine whether or not the following series...

Question 16

Classify the following series as absolutely convergent, conditionally convergent, or divergent.

Accepted Answer

Absolutely

Question 17

Determine whether or not the following series converges. If it converges, find its sum.

Accepted Answer

A)    
B)    
C)    
D)  11 
E)  Diverges 
A)    
B)    
C)    
D)  11 
E)  Diverges

Question 18

Find the first three nonzero terms of the Maclaurin series for the function   by multiplying the Maclaurin series for the factors.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Determine whether or not the following series converges.

Accepted Answer

A)    
B)    
C)  Cannot be determined 
A)    
B)    
C)  Cannot be determined

Question 20

Find the Taylor polynomial of order 2 for

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Determine whether or not the following series converges.

Determine whether or not the following series converges.

Determine whether or not the following sequence converges. If it does converge, what is its limit? Enter "Yes" if the sequence converges, and "No" if it does not.

Use a series to approximate to three decimal-place accuracy.

Find the Taylor polynomial of order 4 for the function centered at .

Determine whether or not the following series converges.

Find the Taylor polynomial of order 2 for , centered about .

Determine whether or not the following series converges.

Use a suitable Maclaurin Series to estimate to five decimal place accuracy.

Determine whether or not the following series converges. If it converges, find its sum.

Determine whether or not the following series converges.

Use a suitable Maclaurin Series to estimate to five decimal place accuracy.

Find the Maclaurin polynomial of order 2 for .

Determine whether or not the following series converges. If it converges, find its sum.

Determine whether or not the following series converges. Enter 'Yes' if the series converges, and 'No' if it diverges.

Classify the following series as absolutely convergent, conditionally convergent, or divergent.

Determine whether or not the following series converges. If it converges, find its sum.

Find the first three nonzero terms of the Maclaurin series for the function by multiplying the Maclaurin series for the factors.

Determine whether or not the following series converges.

Find the Taylor polynomial of order 2 for

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

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Exam 9: Infinte Series

Determine whether or not the following series converges.

Determine whether or not the following series converges.

Determine whether or not the following sequence converges. If it does converge, what is its limit? Enter "Yes" if the sequence converges, and "No" if it does not.

Use a series to approximate to three decimal-place accuracy.

Find the Taylor polynomial of order 4 for the function centered at .

Determine whether or not the following series converges.

Find the Taylor polynomial of order 2 for , centered about .

Determine whether or not the following series converges.

Use a suitable Maclaurin Series to estimate to five decimal place accuracy.

Determine whether or not the following series converges. If it converges, find its sum.

Determine whether or not the following series converges.

Use a suitable Maclaurin Series to estimate to five decimal place accuracy.

Find the Maclaurin polynomial of order 2 for .

Determine whether or not the following series converges. If it converges, find its sum.

Determine whether or not the following series converges. Enter 'Yes' if the series converges, and 'No' if it diverges.

Classify the following series as absolutely convergent, conditionally convergent, or divergent.

Determine whether or not the following series converges. If it converges, find its sum.

Find the first three nonzero terms of the Maclaurin series for the function by multiplying the Maclaurin series for the factors.

Determine whether or not the following series converges.

Find the Taylor polynomial of order 2 for

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters