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Engineering Physics · Q37

Mathematical Physics

Engineering and GATE · Engineering Physics · question 37

Q37

A periodic function f(x) = x for -π < x < +π has the Fourier series representation \[f ( x ) = _n = 1^ ( - 2/n ) ( - 1 )^n nx. \] Using this, one finds the sum \[ _n = 1^ n^ - 2 \] to be

A periodic function f(x) = x for -π < x < +π has the Fourier series representation
Using this, one finds the sum   to be
A.
2n 2
B.
C.
Answer
D.
πn 2

Answer: Option C

Solution

Answer: Option C
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