Evaluate : Σ ((sin(n))/n) , From 1 to infinity.


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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
$f(x)=(a_0 /2)+Σ_(n=1) ^∞ {a_n cos((nπx)/L)+b_n sin((nπx)/L)} Fourier series with a_n =0, b_n =(1/n), x=1 and L=π ?$
$f (x) = \frac{a_{0}}{2} + \underset{n = 1}{\sum^{\infty}} {a_{n} c o s \frac{n π x}{L} + b_{n} s i n \frac{n π x}{L}}$ $F o u r i e r s e r i e s w i t h a_{n} = 0, b_{n} = \frac{1}{n}, x = 1$ $a n d L = π ?$
Commented by Tawakalitu. last updated on 15/Aug/16

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