Use the equation x" for |x| < 1 to expand the function 6. 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.) 6. %3D - x4 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. 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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1
Use the equation
2 x" for |x| < 1 to expand the function
6.
in a power series with center c = 0.
%3D
%3D
1- x
1 - x4
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
6.
%3D
1- x4
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. Use symbolic notation and fractions where needed.)
Transcribed Image Text:1 Use the equation 2 x" for |x| < 1 to expand the function 6. in a power series with center c = 0. %3D %3D 1- x 1 - x4 n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) 6. %3D 1- x4 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. Use symbolic notation and fractions where needed.)
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