Deck 8: Extension G: Infinte Sequences and Series

Question 1

Find the Maclaurin series for using the definition of a Maclaurin serires.

Answer 1

Question 2

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function.

A)
B)
C)
D)
E)

Answer 2

Question 3

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

Answer 3

Question 4

Find the sum of the series.

Question 5

Evaluate the indefinite integral as an infinite series.

Question 6

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.

Question 7

Find the Maclaurin series for f (x)using the definition of the Maclaurin series.

A)
B)
C)
D)
E)

Question 8

Use series to approximate the definite integral to within the indicated accuracy.

A) 0.1447
B) 0.0354
C) 0.0625
D) 0.0125
E) 0.2774