The function (f) with a period of 2π is defined by: f(x) = cosh (x - 2π) if x∈[π ; 3π] a) Determine the complex form of the fourier serie for this function(f) b) Determine the value of n=+∞n=0∑ 1/(n2+1) Note:cosh(x) = (ex + e-x)/2 and sinh(x) = (ex - e-x)/2

The function (f) with a period of 2π is defined by: f(x) = cosh (x - 2π) if x∈[π ; 3π] a) Determine the complex form of the fourier serie for this function(f) b) Determine the value of n=+∞n=0∑ 1/(n2+1) Note:cosh(x) = (ex + e-x)/2 and sinh(x) = (ex - e-x)/2

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

The function (f) with a period of 2π is defined by:

f(x) = cosh (x - 2π) if x∈[π ; 3π]

a) Determine the complex form of the fourier serie for this function(f)

b) Determine the value of

^n=+∞_n=0∑1/(n²+1)

Note:cosh(x) = (e^x + e^-x)/2 and sinh(x) = (e^x - e^-x)/2

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