Question 1

​A Taylor polynomial approximation of   is given below.Use a graphing utility to graph both functions. ​   ​

Accepted Answer

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

Question 2

​Determine whether the series   is a p-series. ​

Accepted Answer

A)  ​   is not a p-series. 
B)  ​​   is a p-series. 
A)  ​   is not a p-series. 
B)  ​​   is a p-series.

Question 3

​Find the radius of convergence of the series   ​​

Accepted Answer

A)  ​10 
B)  ​2 
C)  ​4 
D)  ​13 
E)  ​9 
A)  ​10 
B)  ​2 
C)  ​4 
D)  ​13 
E)  ​9

Question 4

​Determine the convergence or divergence of the series   Use a symbolic algebra utility to verify your result. ​​

Accepted Answer

A)  ​The series converges. 
B)  ​The series diverges. 
A)  ​The series converges. 
B)  ​The series diverges.

A Taylor polynomial approximation of is given below.Use a graphing utility to graph both functions.

Determine whether the series is a p-series.