Question 1

Determine whether the given series converges or diverges. If it converges, find its sum.

Accepted Answer

The answer of Determine whether the given series converges or...

Question 2

Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.

Accepted Answer

The answer of Use the sum of the first 10...

Question 3

Find the radius of convergence and the interval of convergence of the power series.

Accepted Answer

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

Question 4

Test the series for convergence or divergence.

Accepted Answer

The answer of Test the series for convergence or divergence....

Question 5

Use series to evaluate the limit correct to three decimal places.   Select the correct answer.

Accepted Answer

A) 118.933 
B) 114.333 
C) 114.133 
D) 34.3233 
E) 115.933 
A) 118.933 
B) 114.333 
C) 114.133 
D) 34.3233 
E) 115.933

Question 6

Use the sum of the first 9 terms to approximate the sum of the following series.   Write your answer to six decimal places.

Accepted Answer

The answer of Use the sum of the first 9...

Question 7

Graph the sequence defined by   .
Use the graph to guess at the convergence or divergence of the sequence.

Accepted Answer

The answer of Graph the sequence defined by  ...

Question 8

Determine the number of terms sufficient to obtain the sum of the series accurate to three decimal places.

Accepted Answer

A) 20 
B) 21 
C) 22 
D) 19 
A) 20 
B) 21 
C) 22 
D) 19

Question 9

Determine whether the series is convergent or divergent.

Accepted Answer

The answer of Determine whether the series is convergent or...

Question 10

Find the radius of convergence of the series.

Accepted Answer

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

Question 11

Determine whether the series converges or diverges.

Accepted Answer

The answer of Determine whether the series converges or diverges....

Question 12

Approximate the sum to the indicated accuracy.   (five decimal places)

Accepted Answer

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

Question 13

Use the Comparison Test to determine whether the series is convergent or divergent.

Accepted Answer

The answer of Use the Comparison Test to determine whether...

Question 14

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

Accepted Answer

A) absolutely convergent 
B) conditionally convergent 
C) divergent 
A) absolutely convergent 
B) conditionally convergent 
C) divergent

Question 15

Test the series for convergence or divergence.

Accepted Answer

The answer of Test the series for convergence or divergence....

Question 16

Find the radius of convergence and the interval of convergence of the power series.

Accepted Answer

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

Question 17

Find the value of the limit of the sequence defined by   .

Accepted Answer

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

Question 18

For which positive integers k is the series   convergent?

Accepted Answer

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

Determine whether the given series converges or diverges. If it converges, find its sum.

Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.

Find the radius of convergence and the interval of convergence of the power series.

Test the series for convergence or divergence.

Use series to evaluate the limit correct to three decimal places. Select the correct answer.

Use the sum of the first 9 terms to approximate the sum of the following series. Write your answer to six decimal places.

Graph the sequence defined by . Use the graph to guess at the convergence or divergence of the sequence.

Determine the number of terms sufficient to obtain the sum of the series accurate to three decimal places.

Determine whether the series is convergent or divergent.

Find the radius of convergence of the series.

Determine whether the series converges or diverges.

Approximate the sum to the indicated accuracy. (five decimal places)

Use the Comparison Test to determine whether the series is convergent or divergent.

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

Test the series for convergence or divergence.

Find the radius of convergence and the interval of convergence of the power series.

Find the value of the limit of the sequence defined by .

For which positive integers k is the series convergent?

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

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Exam 11: Infinite Sequences and Series

Determine whether the given series converges or diverges. If it converges, find its sum.

Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.

Find the radius of convergence and the interval of convergence of the power series.

Test the series for convergence or divergence.

Use series to evaluate the limit correct to three decimal places. Select the correct answer.

Use the sum of the first 9 terms to approximate the sum of the following series. Write your answer to six decimal places.

Graph the sequence defined by . Use the graph to guess at the convergence or divergence of the sequence.

Determine the number of terms sufficient to obtain the sum of the series accurate to three decimal places.

Determine whether the series is convergent or divergent.

Find the radius of convergence of the series.

Determine whether the series converges or diverges.

Approximate the sum to the indicated accuracy. (five decimal places)

Use the Comparison Test to determine whether the series is convergent or divergent.

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

Test the series for convergence or divergence.

Find the radius of convergence and the interval of convergence of the power series.

Find the value of the limit of the sequence defined by .

For which positive integers k is the series convergent?

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

Filters