Find a power series representation for the function f(2) = α 1. f(z) = Σ 3²nn+1 n=0 η 2. f(x) = Σ 3"," n=0 α 3. f(z) = Σ (−1)n3²n₂n+1 n=0 η 4. f(x) = Σ 32n, n=0 6. f(x) Σ 9z+1 = ∞ 5. f(2) = Σ (−1)ngnan n=0 η Σ (-1)ngn,n+1 n=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
function
f(2)
=
α
1. f(z) = ▶ 3²n2n+1
n=0
2. f(x) = Σ 3","
n=0
α
3. f(z) = Σ (−1)n3²n₂n+1
n=0
4. f(x) = Σ 32n_n
n = 0
6. f(x)
Σ
9z+1
=
∞
5. f(x) = Σ (-1)"3","
n=0
Σ (-1)ngn,n+1
n=0
Transcribed Image Text:Find a power series representation for the function f(2) = α 1. f(z) = ▶ 3²n2n+1 n=0 2. f(x) = Σ 3"," n=0 α 3. f(z) = Σ (−1)n3²n₂n+1 n=0 4. f(x) = Σ 32n_n n = 0 6. f(x) Σ 9z+1 = ∞ 5. f(x) = Σ (-1)"3"," n=0 Σ (-1)ngn,n+1 n=0
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