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let a, b 0 define f: x ax xe 1- e-bx show that •+∞ 1.1.00 f(x) dx = Σ ∞0+1 1 n=0 (a+nb)²

let a, b 0 define f: x ax xe 1- e-bx show that •+∞ 1.1.00 f(x) dx = Σ ∞0+1 1 n=0 (a+nb)²

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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-ax xe 1- e- show that e-bx let a, b 0 define f: x- •+∞ To f(x) f(x) dx = +∞ 1 n=0 (a+nb)²
Transcribed Image Text:-ax xe 1- e- show that e-bx let a, b 0 define f: x- •+∞ To f(x) f(x) dx = +∞ 1 n=0 (a+nb)²
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