2x Let f(r) (1 – 2²)² ° (a) Express f(r) as a power series. n (b) Using the result in la, find the sum of > 4n-1* n=1 (c) Compute f(2022) (0).
2x Let f(r) (1 – 2²)² ° (a) Express f(r) as a power series. n (b) Using the result in la, find the sum of > 4n-1* n=1 (c) Compute f(2022) (0).
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
Find a power series representation for the following and give the interval in which the representation is valid.
Transcribed Image Text:2x
Let f(x) =
(1 – x²)²°
(a) Express f(x) as a power series.
n
(b) Using the result in la, find the sum of >
4n-1
n=1
(c) Compute f(2022) (0).
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