Tuesday, 28 March 2017

sequences and series - how can we show fracpi28=1+frac132+frac152+frac172+?

Let f(x)=4π(sinx+13sin(3x)+15sin(5x)+). If for x=π2, we have
f(x)=4π(113+1517+)=1
then obviously :
113+1517+=π4
Now how can we prove that:
π28=1+132+152+172+

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...