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dil Use differentiation and/or integration to express the following function as a power series (centered at x = 0). 1 (4 + x)² 00 f(x) Σ ((-1)^n(n+1)x^(n))/4^(n+2) n=0 ▾ Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = 0). 1 (4 + x)³ g(x) = f(x) = ∞ ΣΤ n=0 g(x) =

dil Use differentiation and/or integration to express the following function as a power series (centered at x = 0). 1 (4 + x)² 00 f(x) Σ ((-1)^n(n+1)x^(n))/4^(n+2) n=0 ▾ Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = 0). 1 (4 + x)³ g(x) = f(x) = ∞ ΣΤ n=0 g(x) =

Advanced Engineering Mathematics
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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Part 1 Use differentiation and/or integration to express the following function as a power series (centered at x = 0). f(x) 1 (4 + x)² f(x) = ((-1)^n(n+1)x^(n))/4^(n+2) Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = 0). 1 g(x) (4+x)³ g(x) n=0 = 8W n=0
Transcribed Image Text:Part 1 Use differentiation and/or integration to express the following function as a power series (centered at x = 0). f(x) 1 (4 + x)² f(x) = ((-1)^n(n+1)x^(n))/4^(n+2) Part 2 Use your answer above (and more differentiation/integration) to now express the following function as a power series (centered at x = 0). 1 g(x) (4+x)³ g(x) n=0 = 8W n=0
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