Question

fatorial de (n-1)+n!/(n+1)!

Answer 1

Tá tudo na imagem.
Espero ter ajudado! ;)

Answer 2

$\frac{(n-1)!+n!}{(n+1)!} = \frac{(n-1)!}{(n+1)!} + \frac{n!}{(n+1)!} \\ \\ \frac{(n-1)!}{(n+1)(n)(n-1)!} + \frac{n!}{(n+1)n!} = \frac{1}{(n+1).n} + \frac{1}{(n+1)} = \frac{1+n}{n(n+1)} = \frac{1+n}{n^{2}+n}$

Espero te ajudado.