00 Use the equation x" for |x| < 1 to expand the function in a power series with center c = 0. 1 – x 1-x4 n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) Σ 1- x n=0 Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Usc symbolic notation and fractions where needed.) X E

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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00
1
Use the equation
2x" for |x| < 1 to expand the function
in a power series with center c = 0.
1 - x
1- x4
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
Σ
1- x
n=0
Determine the interval of convergence.
(Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Usc symbolic notation and fractions where needed.)
Transcribed Image Text:00 1 Use the equation 2x" for |x| < 1 to expand the function in a power series with center c = 0. 1 - x 1- x4 n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) Σ 1- x n=0 Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Usc symbolic notation and fractions where needed.)
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