Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. - Ex n=0 (Use symbolic notation and fractions where needed.) 5 Σ 4- x n=0 Determine the interval of convergence. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.) XE M8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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∞
Use the equation
=
Σx" for |x| < 1 to expand the function in a power series with center c = 0.
1-x
4-x
n=0
(Use symbolic notation and fractions where needed.)
5
4 X
n=0
Determine the interval of convergence.
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for
infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is
open or closed.)
x E
=
M8
Transcribed Image Text:∞ Use the equation = Σx" for |x| < 1 to expand the function in a power series with center c = 0. 1-x 4-x n=0 (Use symbolic notation and fractions where needed.) 5 4 X n=0 Determine the interval of convergence. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.) x E = M8
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