. Find the power series representation of f(x) = 3 using the geometric series 3+x 1 f(x) = 1 - ", for |a| <1 n=0 Give the interval of convergence of the new series.
. Find the power series representation of f(x) = 3 using the geometric series 3+x 1 f(x) = 1 - ", for |a| <1 n=0 Give the interval of convergence of the new series.
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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Transcribed Image Text:1. Find the power series representation of f()
using the geometric series
3+ x
1
f(x)
>a", for |æ| < 1
1- x
n=0
Give the interval of convergence of the new series.
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