Numeric On computation evalutate \(\pi\) \[\frac{\pi}{4}=\sum_{k=0}^{\infty}\left(\frac{1}{4k+1}-\frac{1}{4k+3}\right)\] \[\frac{\pi}{2} = \sum_{n=0}^{\infty} \frac{(2n)!!}{(2n+1)!!} \left(\frac{...