Question 1

Which of the given series are absolutely convergent? Select the correct Answer

Accepted Answer

A)    
B)    
A)    
B)

Question 2

Select the correct Answer for each question.
-Find the value of the limit for the sequence given.

Accepted Answer

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

Question 3

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 4

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

Accepted Answer

A)    
B) 14 
C)    
D)    
E) 15 
A)    
B) 14 
C)    
D)    
E) 15

Question 5

Find the interval of convergence of the series.Select the correct Answer

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Find the value of the limit for the sequence given.Select the correct Answer

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

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

Accepted Answer

The answer of Determine which one of the p-series below...

Question 10

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 11

Select the correct Answer for each question.
-Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

Accepted Answer

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

Question 12

Select the correct Answer for each question.
-Find the interval of convergence of the series.

Accepted Answer

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

Question 13

How many terms of the series   would you need to add to find its sum to within 0.02?

Accepted Answer

The answer of How many terms of the series ...

Question 14

Find a power series representation for the function.

Accepted Answer

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

Question 15

How many terms of the series do we need to add in order to find the sum to the indicated accuracy? Select the correct Answer

Accepted Answer

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

Question 16

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

Accepted Answer

The answer of Find the partial sum   of...

Question 17

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

Accepted Answer

The answer of Find an approximation of the sum of...

Question 18

When money is spent on goods and services, those that receive the money also spend some of it.The people receiving some of the twice-spent money will spend some of that, and so on.Economists call this chain reaction the multiplier effect.In a hypothetical isolated community, the local government begins the process by spending D dollars.Suppose that each recipient of spent money spends   and saves   of the money that he or she receives.The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course,   The number k = 1/s is called the multiplier.What is the multiplier if the marginal propensity to consume is   Select the correct Answer

Accepted Answer

A) 4 
B) 3 
C) 6 
D) 7 
E) 10 
A) 4 
B) 3 
C) 6 
D) 7 
E) 10

Question 19

Select the correct Answer for each question.
-Approximate the sum to the indicated accuracy.   (five decimal places)

Accepted Answer

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

Question 20

Select the correct Answer for each question.
-Find the sum of the series.

Accepted Answer

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

Which of the given series are absolutely convergent? Select the correct Answer

Select the correct Answer for each question. -Find the value of the limit for the sequence given.

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

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

Find the interval of convergence of the series.Select the correct Answer

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

Find the value of the limit for the sequence given.Select the correct Answer

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.

Select the correct Answer for each question. -Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

Select the correct Answer for each question. -Find the interval of convergence of the series.

How many terms of the series would you need to add to find its sum to within 0.02?

Find a power series representation for the function.

How many terms of the series do we need to add in order to find the sum to the indicated accuracy? Select the correct Answer

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

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

Select the correct Answer for each question. -Approximate the sum to the indicated accuracy. (five decimal places)

Select the correct Answer for each question. -Find the sum of the series.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

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

Filters

Exam 11: Infinite Sequences and Series

Which of the given series are absolutely convergent? Select the correct Answer

Select the correct Answer for each question. -Find the value of the limit for the sequence given.

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

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

Find the interval of convergence of the series.Select the correct Answer

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

Find the value of the limit for the sequence given.Select the correct Answer

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.

Select the correct Answer for each question. -Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

Select the correct Answer for each question. -Find the interval of convergence of the series.

How many terms of the series would you need to add to find its sum to within 0.02?

Find a power series representation for the function.

How many terms of the series do we need to add in order to find the sum to the indicated accuracy? Select the correct Answer

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

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

Select the correct Answer for each question. -Approximate the sum to the indicated accuracy. (five decimal places)

Select the correct Answer for each question. -Find the sum of the series.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

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

Filters