Deck 9: Section 10: Infinite Series

Question 1

Use the binomial series to find the Maclaurian series for the function .

A)
B)
C)
D)
E)

Answer 1

Question 2

Evaluate using the formula where k is a real number, n is a positive integer, and .

A) 31
B) 45
C) 56
D) 21
E) 35

Answer 2

21

Question 3

Use the definition to find the Taylor series centered at for the function .

A)
B)
C)
D)
E)

Answer 3

Question 4

Use a power series to approximate the value of the integral with an error less than 0.001. Round your answer to four decimal places.

A) 0.1925
B) 0.1700
C) 0.1813
D) 0.1933
E) 0.1817

Question 5

Use the definition to find the Taylor series (centered at c) for the function.

A)
B)
C)
D)
E)

Question 6

Use a power series to approximate the value of the integral with an error of less than 0.0001. Round your answer to four decimal places.

A) 1.2370
B) 0.6185
C) 0.5993
D) 0.0619
E) 0.0400

Question 7

Use the definition to find the Taylor series (centered at c) for the function.

A)
B)
C)
D)
E)

Question 8

Use the binomial series to find the Maclaurin series for the function.

A)
B)
C)
D)
E)

Question 9

Use a power series to approximate the value of the integral with an error of less than 0.01. Round your answer to two decimal places.

A) 0.81
B) 0.74
C) 0.89
D) 0.88
E) 0.84

Question 10

Use the definition to find the Taylor series centered at for the function .

A)
B)
C)
D)
E)

Question 11

Factor a common factor from the polynomial and identify the function approximated by the remaining Taylor polynomial.

A)
B)
C)
D)
E)

Question 12

Find the Maclaurin series for the function .

A)
B)
C)
D)
E)

Question 13

Find the Maclaurian series for the function .

A)
B)
C)
D)
E)

Question 14

Use the binomial series to find the Maclaurian series for the function .

A)
B)
C)
D)
E)

Question 15

Use the definition to find the Taylor series centered at for the function .

A)
B)
C)
D)
E)

Question 16

Find the Maclaurian series for the function .

A)
B)
C)
D)
E)