Question

mostre que 1/x! + 1/(x+1)! =(x+2)

Answer 1

Explicação passo-a-passo:

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

$\sf =\dfrac{1}{x!}+\dfrac{1}{(x+1)\cdot x!}$

$\sf =\dfrac{x+1+1}{(x+1)!}$

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