Question 1

Find the Maclaurin series for   and the values of   for which it converges.

Accepted Answer

The answer of Find the Maclaurin series for  ...

Question 2

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

Accepted Answer

A) converges
B) converges
C) divergent

Question 3

Determine if the following series converge.
A)   
B)   
C)

Accepted Answer

A) converges
B) diverges
C) converges

Question 4

Determine if the following series converge.
A)   
B)   
C)

Accepted Answer

A) converg

Question 5

Find the partial sums of the series   , and determine if the series converges.

Accepted Answer

@#IMG-DLM& ; the ser

Question 6

Determine whether the series   converges or diverges.

Accepted Answer

The series

Question 7

Let   . Determine if the series   converges.

Accepted Answer

The series

Question 8

Does the series   converge or diverge?

Accepted Answer

The series

Question 9

Determine whether the series   converges.

Accepted Answer

The series

Question 10

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

Accepted Answer

A) conditionally con

Question 11

The values of   for which the series   converges are:

Accepted Answer

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

Question 12

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

Accepted Answer

A) converg

Question 13

The values of   at which the series   converges are:

Accepted Answer

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

Question 14

Use the Comparison Tests to determine if the following series converge.
A)   
B)   
C)

Accepted Answer

A) diverge

Question 15

Does the series   converge or diverge?

Accepted Answer

The series

Question 16

Use the Direct Comparison Test or the Limit Comparison Test to determine if the series is convergent.
A)   
B)   
C)

Accepted Answer

A) converg

Question 17

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

Accepted Answer

A) diverge

Question 18

Which one(s) of the following series is(are) conditionally convergent?

Accepted Answer

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

Question 19

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

Accepted Answer

A) diverge

Question 20

Determine if the following series converge.
A)   
B)   
C)

Accepted Answer

A) diverge

Find the Maclaurin series for and the values of for which it converges.

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

Determine if the following series converge. A) B) C)

Determine if the following series converge. A) B) C)

Find the partial sums of the series , and determine if the series converges.

Determine whether the series converges or diverges.

Let . Determine if the series converges.

Does the series converge or diverge?

Determine whether the series converges.

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

The values of for which the series converges are:

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

The values of at which the series converges are:

Use the Comparison Tests to determine if the following series converge. A) B) C)

Does the series converge or diverge?

Use the Direct Comparison Test or the Limit Comparison Test to determine if the series is convergent. A) B) C)

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

Which one(s) of the following series is(are) conditionally convergent?

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

Determine if the following series converge. A) B) C)

Precalculus Review

Limits

Differentiation

Applications of the Derivative

The Integral

Applications of the Integral

Exponential Functions

Techniques of Integration

Further Applications of the Integral and Taylor Polynomials

Introduction to Differential Equations

Parametric Equations, Polar Coordinates, and Conic Sections

Vector Geometry

Calculus of Vector-Valued Functions

Differentiation in Several Variables

Multiple Integration

Line and Surface Integrals

Fundamental Theorems of Vector Analysis

Filters

Exam 11: Infinite Series

Find the Maclaurin series for and the values of for which it converges.

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

Determine if the following series converge. A) B) C)

Determine if the following series converge. A) B) C)

Find the partial sums of the series , and determine if the series converges.

Determine whether the series converges or diverges.

Let . Determine if the series converges.

Does the series converge or diverge?

Determine whether the series converges.

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

The values of for which the series converges are:

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

The values of at which the series converges are:

Use the Comparison Tests to determine if the following series converge. A) B) C)

Does the series converge or diverge?

Use the Direct Comparison Test or the Limit Comparison Test to determine if the series is convergent. A) B) C)

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

Which one(s) of the following series is(are) conditionally convergent?

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

Determine if the following series converge. A) B) C)

Precalculus Review

Limits

Differentiation

Applications of the Derivative

The Integral

Applications of the Integral

Exponential Functions

Techniques of Integration

Further Applications of the Integral and Taylor Polynomials

Introduction to Differential Equations

Parametric Equations, Polar Coordinates, and Conic Sections

Vector Geometry

Calculus of Vector-Valued Functions

Differentiation in Several Variables

Multiple Integration

Line and Surface Integrals

Fundamental Theorems of Vector Analysis

Filters