Question

Simplifique: n!/(n+2)!

Answer 1

$\dfrac{n!}{(n + 2)!} \\ \\ \\ (n + 2)! =\ \textgreater \ fatorando \\ \\ \\ n!.(n + 1).(n + 2) \\ \\ \\ \dfrac{n!}{n!.(n + 1).(n + 2)} \\ \\ \\ \dfrac{\not n!}{\not n!.(n + 1).(n + 2)} \\ \\ \\ \dfrac{1}{(n + 1).(n + 2)} \\ \\ \\ =\ \textgreater \ \dfrac{1}{n^2 + 3n + 2}$