Question 1

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function.

Accepted Answer

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

Question 2

Determine whether the sequence convergent or divergent.

Accepted Answer

The answer of Determine whether the sequence convergent or divergent....

Question 3

Use series to approximate the definite integral to within the indicated accuracy.

Accepted Answer

A) 0.0125 
B) 0.2774 
C) 0.1447 
D) 0.0354 
E) 0.0625 
A) 0.0125 
B) 0.2774 
C) 0.1447 
D) 0.0354 
E) 0.0625

Question 4

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

Accepted Answer

absolutely

Question 5

Determine whether the series is convergent or divergent.

Accepted Answer

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

Question 6

Which of the given series are absolutely convergent?

Accepted Answer

A)    
B)    
A)    
B)

Question 7

Find all positive values of u for which the series   converges.

Accepted Answer

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

Question 8

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

Accepted Answer

A) 17 
B) 16 
C) 19 
D) 18 
A) 17 
B) 16 
C) 19 
D) 18

Question 9

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 10

Approximate the sum to the indicated accuracy.

Accepted Answer

The answer of Approximate the sum to the indicated accuracy....

Question 11

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

Accepted Answer

A) 7 
B) 64 
C) 56 
D) Diverges 
A) 7 
B) 64 
C) 56 
D) Diverges

Question 12

Determine which one of the p-series below is convergent.

Accepted Answer

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

Question 13

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

Accepted Answer

The answer of Find the radius of convergence and the...

Question 14

Find the value of the limit for the sequence given.

Accepted Answer

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

Question 15

Use the binomial series to expand the function as a power series. Find the radius of convergence.

Accepted Answer

The answer of Use the binomial series to expand the...

Question 16

Find the sum of the series.

Accepted Answer

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

Question 17

Determine whether the series is convergent or divergent.

Accepted Answer

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

Question 18

Find a power series representation for

Accepted Answer

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

Question 19

Find the partial sum   of the series   . Give your answer to five decimal places.

Accepted Answer

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

Question 20

Express the number   as a ratio of integers.

Accepted Answer

The answer of Express the number   as a...

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function.

Determine whether the sequence convergent or divergent.

Use series to approximate the definite integral to within the indicated accuracy.

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

Determine whether the series is convergent or divergent.

Which of the given series are absolutely convergent?

Find all positive values of u for which the series converges.

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

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

Approximate the sum to the indicated accuracy.

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

Determine which one of the p-series below is convergent.

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

Find the value of the limit for the sequence given.

Use the binomial series to expand the function as a power series. Find the radius of convergence.

Find the sum of the series.

Determine whether the series is convergent or divergent.

Find a power series representation for

Find the partial sum of the series . Give your answer to five decimal places.

Express the number as a ratio of integers.

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

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function.

Determine whether the sequence convergent or divergent.

Use series to approximate the definite integral to within the indicated accuracy.

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

Determine whether the series is convergent or divergent.

Which of the given series are absolutely convergent?

Find all positive values of u for which the series converges.

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

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

Approximate the sum to the indicated accuracy.

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

Determine which one of the p-series below is convergent.

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

Find the value of the limit for the sequence given.

Use the binomial series to expand the function as a power series. Find the radius of convergence.

Find the sum of the series.

Determine whether the series is convergent or divergent.

Find a power series representation for

Find the partial sum of the series . Give your answer to five decimal places.

Express the number as a ratio of integers.

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