EC > GATE 2018 > Fourier Series
Let x(t) be a periodic function with period T=10. The Fourier series coefficients for this series are denoted by ak, that is x(t)=∑k=-∞akejk(2π/T)t. The same function x(t) can also be considered as a periodic function with period T'=40. Let bk be the Fourier series coefficients when period is taken as T'. If ∑k=-∞|ak|=16 then ∑k=-∞|bk| is equal to
A
256
B
64
C
16
D
4

Correct : c

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