Question

Power Series. Prove that sum (n/(n+1)!) = 1

Answer 1

\[\sum_{0}^{\infty} (n/(n+1)!)=1\]

Answer 2

\[\sum_{0}^{\infty}\frac{ n+1 }{ (n+1)! } -\sum_{0}^{\infty}\frac{ n }{ (n+1)! } = e - 1\]