Evaluate-sin-n-n-From-1-to-infinity-

Question Number 7189 by Tawakalitu. last updated on 15/Aug/16

E v a l u a t e : Σ \frac{s i n (n)}{n}, F r o m 1 t o i n f i n i t y .

Commented by Yozzia last updated on 15/Aug/16

f (x) = \frac{a_{0}}{2} + \underset{n = 1}{\sum^{\infty}} {a_{n} c o s \frac{n π x}{L} + b_{n} s i n \frac{n π x}{L}}

F o u r i e r s e r i e s w i t h a_{n} = 0, b_{n} = \frac{1}{n}, x = 1

a n d L = π ?

Commented by Tawakalitu. last updated on 15/Aug/16

Y e s s i r t h e s i n i s 3 n \dots . . i h a v e c h a n g e i t . T h a n k y o u s i r .