Question

Mostre que: 1/n! + 1/(n + 1)! = n + 2/(n + 1)!

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf{\dfrac{1}{n!} + \dfrac{1}{(n + 1)!}}$

$\sf{\dfrac{1}{n!} + \dfrac{1}{(n + 1)\:.\:n!}}$

$\sf{\dfrac{n + 1 + 1}{(n + 1)!}}}$

$\sf{\dfrac{n + 2}{(n + 1)!}}}$

$\boxed{\boxed{\sf{\dfrac{1}{n!} + \dfrac{1}{(n + 1)!} = \dfrac{n + 2}{(n + 1)!}}}}}$