Question

simplifique (n-1)!+n!/(n+1)!​

Answer 1

Siga a resolução da questão

$\sf{ \frac{(n - 1)! + n!}{(n + 1)!} } \\ \\ \sf{ \frac{(n - 1)! + n \times (n - 1)!}{(n + 1)!} } \\ \\ \sf{ \frac{(n - 1)! + n \times (n - 1)!}{(n + 1) \times n!} } \\ \\ \sf{ \frac{(n - 1)! \times (1 + n)}{(n + 1) \times n!} } \\ \\ \sf{ \frac{(n - 1)! \times (1 + n)}{(n + 1) \times n \times (n - 1)!} } \\ \\ \sf{ \frac{ \cancel{(n - 1)!} \times\cancel{(n + 1)} }{ \cancel{(n + 1)}\times n \times \cancel{(n - 1)!}} } \\ \\ \boxed{\sf{ \frac{1}{n} }}$

Resposta: $\boxed{\sf{ \frac{1}{n} }}$

Att: José Armando