∞ Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. 6-x n=0 (Use symbolic notation and fractions where needed.) 5 6-x = XE M8 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 co for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0.
n=0
(Use symbolic notation and fractions where needed.)
5
6³-2
Σ
- 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
Transcribed Image Text:Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. n=0 (Use symbolic notation and fractions where needed.) 5 6³-2 Σ - 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
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