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Consider the function f : [-L, L] → R given by (x+L, if – L

Consider the function f : [-L, L] → R given by (x+L, if – L

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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Consider the function f : [-L, L] → R given by (x +L, if – L <r< - if – L< x < – if - :< x < 0 L 2 L L f (x) = 2 x2, if 0 < x < L. Find the value to which the Fourier series of f at x converges when (а) х (b) х — -L %— L - 2 (c) x (d) х - L. 2 (е) х —
Transcribed Image Text:Consider the function f : [-L, L] → R given by (x +L, if – L <r< - if – L< x < – if - :< x < 0 L 2 L L f (x) = 2 x2, if 0 < x < L. Find the value to which the Fourier series of f at x converges when (а) х (b) х — -L %— L - 2 (c) x (d) х - L. 2 (е) х —
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