# extenssion

Education

18

All Questions

15

Multiple Choice

0

True False

3

Essay

0

Short Answer

0

Not Answered

Q 1

Which of the following series is absolutely convergent?
A)
B)
C)
D)

Free

Multiple Choice

D

Q 2

The power series converges for which values of x?
A)
B)
C)
D) is any real number.

Free

Multiple Choice

B

Q 3

Which of the following series is the power series expansion for .
A)
B)
C)
D)

Free

Multiple Choice

D

Q 4

What are all values of a for which the series converges?
A)
B)
C)
D)

Multiple Choice

Q 5

The Maclaurin series for .What is the Maclaurin series for ?
A)
B)
C)
D)

Multiple Choice

Q 6

The Maclaurin series represents which function below?
A)
B)
C)
D)

Multiple Choice

Q 7

If the first five terms of the Taylor expansion for about are ,then
A)
B)
C)
D)

Multiple Choice

Q 8

Which of the following series diverge?
A)I only
B)II only
C)I and II only
D)I and III only

Multiple Choice

Q 9

The sixth degree term of the Taylor series expansion for about has coefficient
A)
B)
C)
D)

Multiple Choice

Q 10

Let represent the Taylor Polynomial of degree n about for .If is used to approximate the value of ,then which of the following expressions is NOT less than ?
A)
B)
C)
D)

Multiple Choice

Q 11

For function Using the Taylor series expansion for about ,the second degree estimate for is
A)4.335
B)4.750
C)4.420
D)5.240

Multiple Choice

Q 12

The Maclaurin series represents which expression below?
A)
B)
C)
D)

Multiple Choice

Q 13

If ,the first three terms of the Taylor series expansion about for are
A)
B)
C)
D)

Multiple Choice

Q 14

Which of the following series is conditionally convergent?
A)
B)
C)
D)

Multiple Choice

Q 15

The radius of convergence of the power series .
A)3
B)5
C)4
D)6

Multiple Choice

Q 16

Let be a function that is differentiable for all .The Taylor expansion for about is given by The first four nonzero terms of are given by
-Show that converges for all .

Essay

Q 17

Let be the Taylor expansion for about .Find the general term for and find .

Essay

Q 18

Which value is smaller, Give a reason for your answer.

Essay