Question 1

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

Accepted Answer

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

Question 2

Determine whether the sequence defined by   converges or diverges. If it converges, find its limit.

Accepted Answer

The answer of Determine whether the sequence defined by ...

Question 3

Find an approximation of the sum of the series accurate to two decimal places.

Accepted Answer

A) -1.02 
B) -1.09 
C) -0.87 
D) -0.95 
A) -1.02 
B) -1.09 
C) -0.87 
D) -0.95

Question 4

Find the values of p for which the series is convergent.

Accepted Answer

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

Question 5

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

Accepted Answer

A) Diverges 
B) 36 
C) 5 
D) 30 
A) Diverges 
B) 36 
C) 5 
D) 30

Question 6

Find the values of p for which the series is convergent.

Accepted Answer

The answer of Find the values of p for which...

Question 7

Determine whether the series is convergent or divergent.

Accepted Answer

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

Question 8

Evaluate the function   by a Taylor polynomial of degree   centered at   , and   .

Accepted Answer

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

Question 9

Determine whether the series is convergent or divergent.

Accepted Answer

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

Question 10

Test the series for convergence or divergence.

Accepted Answer

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

Question 11

Test the series for convergence or divergence.

Accepted Answer

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

Question 12

A right triangle ABC is given with   and   . CD is drawn perpendicular to AB, DE is drawn perpendicular to BC, EF   AB and this process is continued indefinitely as shown in the figure. Find the total length of all the perpendiculars   Write your answer to two decimal places.

Accepted Answer

The answer of A right triangle ABC is given with...

Question 13

Find the Taylor series for   centered at the given value of 
a.Assume that f has a power series expansion.Also find the associated radius of convergence.

Accepted Answer

The answer of Find the Taylor series for  ...

Question 14

Determine whether the series is convergent or divergent by expressing   as a telescoping sum. If it is convergent, find its sum.   .

Accepted Answer

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

Question 15

A sequenceis   defined recursively by the equation   for   where   . Use your calculator to guess the limit of the sequence.

Accepted Answer

A)    
B) 13 
C)    
D)    
E) 12 
A)    
B) 13 
C)    
D)    
E) 12

Question 16

Which of the following series is convergent?

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Find a power series representation for the indefinite integral.

Accepted Answer

The answer of Find a power series representation for the...

Question 19

Determine whether the series is convergent or divergent.

Accepted Answer

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

Question 20

Test the series for convergence or divergence.

Accepted Answer

A) The series is convergent. 
B) The series is divergent. 
A) The series is convergent. 
B) The series is divergent.

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

Determine whether the sequence defined by converges or diverges. If it converges, find its limit.

Find an approximation of the sum of the series accurate to two decimal places.

Find the values of p for which the series is convergent.

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

Find the values of p for which the series is convergent.

Determine whether the series is convergent or divergent.

Evaluate the function by a Taylor polynomial of degree centered at , and .

Determine whether the series is convergent or divergent.

Test the series for convergence or divergence.

Test the series for convergence or divergence.

A right triangle ABC is given with and . CD is drawn perpendicular to AB, DE is drawn perpendicular to BC, EF AB and this process is continued indefinitely as shown in the figure. Find the total length of all the perpendiculars Write your answer to two decimal places.

Find the Taylor series for centered at the given value of a.Assume that f has a power series expansion.Also find the associated radius of convergence.

Determine whether the series is convergent or divergent by expressing as a telescoping sum. If it is convergent, find its sum. .

A sequenceis defined recursively by the equation for where . Use your calculator to guess the limit of the sequence.

Which of the following series is convergent?

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

Find a power series representation for the indefinite integral.

Determine whether the series is convergent or divergent.

Test the series for convergence or divergence.

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

Exam 11: Infinite Sequences and Series

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

Determine whether the sequence defined by converges or diverges. If it converges, find its limit.

Find an approximation of the sum of the series accurate to two decimal places.

Find the values of p for which the series is convergent.

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

Find the values of p for which the series is convergent.

Determine whether the series is convergent or divergent.

Evaluate the function by a Taylor polynomial of degree centered at , and .

Determine whether the series is convergent or divergent.

Test the series for convergence or divergence.

Test the series for convergence or divergence.

A right triangle ABC is given with and . CD is drawn perpendicular to AB, DE is drawn perpendicular to BC, EF AB and this process is continued indefinitely as shown in the figure. Find the total length of all the perpendiculars Write your answer to two decimal places.

Find the Taylor series for centered at the given value of a.Assume that f has a power series expansion.Also find the associated radius of convergence.

Determine whether the series is convergent or divergent by expressing as a telescoping sum. If it is convergent, find its sum. .

A sequenceis defined recursively by the equation for where . Use your calculator to guess the limit of the sequence.

Which of the following series is convergent?

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

Find a power series representation for the indefinite integral.

Determine whether the series is convergent or divergent.

Test the series for convergence or divergence.

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