### limit theorems and series

By using partial fractions show that a. the sumation from 0 to infinity of 1/(n+1)(n+2)=1 b. the sumation from 0 to infinity of 1/(alpha+n)(alpha+n+1)=1/alpha >0 if alpha>0 c. the sumation from 0 to infinity of 1/n(n+1)(n+2) =1/4 apply the theorem: let (Xsubn) be a sequence of positive real numbers such that L := lim(Xsubn