Q-by-using-fourier-series-prove-that-n-1-1-n-1-2n-1-3-3-32-

Tinku Tara June 4, 2023 Differentiation 0 Comments

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Question Number 174766 by mnjuly1970 last updated on 10/Aug/22

Q: by using fourier series, prove that : 𝛀=Σ_(n=1) ^∞ (((−1)^( n−1) )/((2n−1 )^( 3) )) = (𝛑^( 3) /(32)) −−−−−−

Q : b y u s i n g f o u r i e r s e r i e s,

p r o v e t h a t :

Ω = \underset{n = 1}{\sum^{\infty}} \frac{{(- 1)}^{n - 1}}{{(2 n - 1)}^{3}} = \frac{π^{3}}{32}

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