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4. Find the half-range cosine series of f(t) = t in (0,1), and hence find the sum of the series 군 +글 +글+ . 34 54 96

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

4. Find the half-range cosine series of f(t) = t in (0,1), and hence find the sum of
the series +
96
34
54
(3x, (0<x<1)
5. A periodic function f(x) of period 2 is defined by f(x) = {
Obtain
3, (1<x< 2)
a Cosine Fourier series expansion for it.

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