Use the equation 3 1- x4 (Express numbers in exact form. Use symbolic notation and fractions where needed.) = XE M8 Σ 1 1-x n=0 = 3 Σx" for |x| < 1 to expand the function in a power series with center c = 0. 1- x4 n=0 Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol ∞ 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. Use symbolic notation and fractions where needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Use the equation
3
1- x4
1
1 X
= Ë
n=0
x E
=
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
3
Σx" for |x| < 1 to expand the function in a power series with center c = = 0.
x4
n=0
Determine the interval of convergence.
(Give your answer as an interval in the form (*,*). Use the symbol ∞ 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. Use symbolic notation and fractions where needed.)
Transcribed Image Text:Use the equation 3 1- x4 1 1 X = Ë n=0 x E = (Express numbers in exact form. Use symbolic notation and fractions where needed.) 3 Σx" for |x| < 1 to expand the function in a power series with center c = = 0. x4 n=0 Determine the interval of convergence. (Give your answer as an interval in the form (*,*). Use the symbol ∞ 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. Use symbolic notation and fractions where needed.)
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