Question 1

Determine whether the series   converges conditionally or absolutely, or diverges.

Accepted Answer

A)  The series converges absolutely. 
B)  The series diverges. 
C)  The series converges absolutely but does not converge conditionally. 
D)  The series converges conditionally but does not converge absolutely. 
A)  The series converges absolutely. 
B)  The series diverges. 
C)  The series converges absolutely but does not converge conditionally. 
D)  The series converges conditionally but does not converge absolutely. D

Question 2

Determine whether the series   converges absolutely, converges conditionally, or diverges.

Accepted Answer

A)    
B)  diverges 
C)    
A)    
B)  diverges 
C)    A

Question 3

Consider the series   . Review the Alternating Series Test to determine which of the following statements is true for the given series.

Accepted Answer

A)  Since   , the series diverges. 
B)  Since   , the Alternating Series Test cannot be applied. 
C)  Since   for some n, the Alternating Series Test cannot be applied. 
D)  Since   for some n, the series diverges. 
E)  The series converges. 
A)  Since   , the series diverges. 
B)  Since   , the Alternating Series Test cannot be applied. 
C)  Since   for some n, the Alternating Series Test cannot be applied. 
D)  Since   for some n, the series diverges. 
E)  The series converges. E

Question 4

Determine whether the series   converges absolutely, converges conditionally, or diverges.

Accepted Answer

A)  converges absolutely 
B)  diverges 
C)  converges conditionally 
A)  converges absolutely 
B)  diverges 
C)  converges conditionally

Question 5

It can be shown that   According to Theorem 9.15, the partial sum   approximates   with error less than how much?

Accepted Answer

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

Question 6

Consider the series   . Review the Alternating Series Test to determine which of the following statements is true for the given series.

Accepted Answer

A)  Since   for some n, the series diverges. 
B)  Since   cannot be shown to be true for all n, the Alternating Series Test cannot be applied. 
C)  The series converges. 
D)  Since   cannot be shown to be true for all n, the series diverges. 
E)  Since   , the series diverges. 
A)  Since   for some n, the series diverges. 
B)  Since   cannot be shown to be true for all n, the Alternating Series Test cannot be applied. 
C)  The series converges. 
D)  Since   cannot be shown to be true for all n, the series diverges. 
E)  Since   , the series diverges.

Question 7

True or false: The series   diverges.

Accepted Answer

A)    
B)    
A)    
B)

Question 8

Determine whether the series   converges absolutely, converges conditionally, or diverges.

Accepted Answer

A)    
B)  converges conditionally 
C)    
A)    
B)  converges conditionally 
C)

Question 9

Determine whether the series   converges conditionally or absolutely, or diverges.

Accepted Answer

A)  The series converges absolutely. 
B)  The series diverges. 
C)  The series converges absolutely but does not converge conditionally. 
D)  The series converges conditionally but does not converge absolutely. 
A)  The series converges absolutely. 
B)  The series diverges. 
C)  The series converges absolutely but does not converge conditionally. 
D)  The series converges conditionally but does not converge absolutely.

Question 10

True or false: The series   converges .

Accepted Answer

A)    
B)    
A)    
B)

Question 11

True or false: The series   converges.

Accepted Answer

A)    
B)    
A)    
B)

Question 12

The series   is a convergent series. Use Theorem 9.15 to determine the number of terms required to approximate the sum of this series with an error less than 0.001.

Accepted Answer

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

Question 13

Determine whether the series   converges conditionally or absolutely, or diverges.

Accepted Answer

A)  The series converges conditionally but does not converge absolutely. 
B)  The series converges absolutely but does not converge conditionally. 
C)  The series diverges. 
D)  The series converges absolutely. 
A)  The series converges conditionally but does not converge absolutely. 
B)  The series converges absolutely but does not converge conditionally. 
C)  The series diverges. 
D)  The series converges absolutely.

Question 14

Use the Alternating Series Test (if possible) to determine whether the series   converges or diverges?

Accepted Answer

A)    
B)    
C)  Alternating Series Test cannot be applied 
A)    
B)    
C)  Alternating Series Test cannot be applied

Question 15

True or false: The series   diverges.

Accepted Answer

A)    
B)    
A)    
B)

Exam 9: Section 5: Infinite Series

Determine whether the series converges conditionally or absolutely, or diverges.

Determine whether the series converges absolutely, converges conditionally, or diverges.

Consider the series . Review the Alternating Series Test to determine which of the following statements is true for the given series.

Determine whether the series converges absolutely, converges conditionally, or diverges.

It can be shown that According to Theorem 9.15, the partial sum approximates with error less than how much?

Consider the series . Review the Alternating Series Test to determine which of the following statements is true for the given series.

True or false: The series diverges.

Determine whether the series converges absolutely, converges conditionally, or diverges.

Determine whether the series converges conditionally or absolutely, or diverges.

True or false: The series converges .

True or false: The series converges.

The series is a convergent series. Use Theorem 9.15 to determine the number of terms required to approximate the sum of this series with an error less than 0.001.

Determine whether the series converges conditionally or absolutely, or diverges.

Use the Alternating Series Test (if possible) to determine whether the series converges or diverges?

True or false: The series diverges.

Section 1: Preparation for Calculus

Section 2: Preparation for Calculus

Section 3: Preparation for Calculus

Section 4: Preparation for Calculus

Section 5: Preparation for Calculus

Section 6: Preparation for Calculus

Section 1: Limits and Their Properties

Section 2: Limits and Their Properties

Section 3: Limits and Their Properties

Section 4: Limits and Their Properties

Section 5 : Limits and Their Properties

Section 1 : Differentiation

Section 2: Differentiation

Section 3: Differentiation

Section 4 : Differentiation

Section 5: Differentiation

Section 6: Differentiation

Section 7: Differentiation

Section 8: Differentiation

Section 1 : Applications of Differentiation

Section 2: Applications of Differentiation

Section 3: Applications of Differentiation

Section 4: Applications of Differentiation

Section 5: Applications of Differentiation

Section 6: Applications of Differentiation

Section 7: Applications of Differentiation

Section 8: Applications of Differentiation

Section 1: Integration

Section 2: Integration

Section 3: Integration

Section 4: Integration

Section 5: Integration

Section 6: Integration

Section 7: Integration

Section 8: Integration

Section 9: Integration

Section 1: Differential Equations

Section 2: Differential Equations

Section 3: Differential Equations

Section 4: Differential Equations

Section 5: Differential Equations

Section 1: Applications of Integration

Section 2: Applications of Integration

Section 3: Applications of Integration

Section 4: Applications of Integration

Section 5: Applications of Integration

Section 6: Applications of Integration

Section 7: Applications of Integration

Section 1: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 2: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 3: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 4: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 5: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 6: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 7: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 8: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 1: Infinite Series

Section 2: Infinite Series

Section 3: Infinite Series

Section 4: Infinite Series

Section 6: Infinite Series

Section 7: Infinite Series

Section 8: Infinite Series

Section 9: Infinite Series