Question-proof-n-sin-n-n-2-pi-nice-calculus-

Question Number 139404 by mnjuly1970 last updated on 26/Apr/21

You can't use 'macro parameter character #' in math mode

p r o o f :: \underset{n = - \infty}{\sum^{\infty}} {(\frac{s i n (n)}{n})}^{2} = π

\dots \dots . n i c e . c a l c u l u s \dots \dots

Answered by Dwaipayan Shikari last updated on 26/Apr/21

\underset{n = - \infty}{\sum^{\infty}} \frac{{s i n}^{2} (n)}{n^{2}} = 2 \frac{π - 1}{2} + 1 \underset{n = 1}{\sum^{\infty}} \frac{{s i n}^{2} (n θ)}{n^{2}} = \frac{θ (π - θ)}{2}

= π

Commented by mnjuly1970 last updated on 26/Apr/21

t h a n k s a l o t . .