Find a power series representation for f(x) 1+x3° By differentiating the power series obtained in (a), find the exact value of (-1)"(3n + 2) 8n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a) Find a power series representation for f(x) =
1+ x3 '
b) By differentiating the power series obtained in (a), find the exact value of
(-1)" (3n + 2)
8"
n=0
Transcribed Image Text:a) Find a power series representation for f(x) = 1+ x3 ' b) By differentiating the power series obtained in (a), find the exact value of (-1)" (3n + 2) 8" n=0
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