Let f(x) = Σ(-1) ¹ n=0 X¹+1 n+1 *(-) for x € (-1,1). Find f' 1 ∞ 2Σxª. Fim² =(- -)- where g(x) = Σ 21x²-1 Σ2nx³-1 n=0 n=1 Let f: ( − 1, 1) → R be given by f(x) = 2x¹. Find g
Let f(x) = Σ(-1) ¹ n=0 X¹+1 n+1 *(-) for x € (-1,1). Find f' 1 ∞ 2Σxª. Fim² =(- -)- where g(x) = Σ 21x²-1 Σ2nx³-1 n=0 n=1 Let f: ( − 1, 1) → R be given by f(x) = 2x¹. Find g
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
Please answer both parts of the question

Transcribed Image Text:Let f(x) = (-1) ¹
n=0
X¹+1
n+1
(-3)
-, for x € (-1,1). Find f'
∞
Let f: ( − 1, 1) → R be given by f(x) = 2 Σx¹. Find g
n=0
Fine (1). W where g(x) = 2nx¹-1¸
= [21x²-1,
n=1
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