1 Use the equation = 6. in a power series with center c = 0. x4 2x" for |x| < 1 to expand the function 1- x 1. n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) 00 6. Σ %3D 1- x4 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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
1
Use the equation =
6.
in a power series with center c = 0.
x4
2x" for |x| < 1 to expand the function
1- x
1.
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
00
6.
Σ
%3D
1- x4
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 = 6. in a power series with center c = 0. x4 2x" for |x| < 1 to expand the function 1- x 1. n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) 00 6. Σ %3D 1- x4 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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