9. Find the power series representation for f(x) = (1–x)' with a center at a = 0, given that 1 =>x". (Hint: write f in terms of the derivative of g, then expand g and (1–x) g(x) = n=0 differentiate term by term.)
9. Find the power series representation for f(x) = (1–x)' with a center at a = 0, given that 1 =>x". (Hint: write f in terms of the derivative of g, then expand g and (1–x) g(x) = n=0 differentiate term by term.)
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:9. Find the power series representation for f(x) =
(1–x)'
with a center at a = 0, given that
1
=>x". (Hint: write f in terms of the derivative of g, then expand g and
(1–x)
g(x) =
n=0
differentiate term by term.)
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