Question

Simplifique a fração
(n - 1)! + (n - 2)! / n!

Answer 1

(n - 1)! + (n - 2)! / n!

(n - 1)!/n! + (n - 2)!/n!

(n - 1).n!/n! + (n - 2).(n - 1).n!/n!

(n - 1) + (n - 2).(n - 1)

(n - 1).(1 + n - 2)

(n - 1).(n - 1) = (n - 1)²

R: (n - 1)²

espero ter ajudado

Answer 2

Resposta:

$\frac{1}{n-1}$

Explicação passo-a-passo:

$\frac{(n-1)!}{n!}+\frac{(n-2)!}{n!}\\\\\frac{(n-1)!}{n(n-1)!}+\frac{(n-2)!}{n(n-1)(n-2)!}\\\\\\\frac{1}{n}+\frac{1}{n^2-n}\\\\\\\frac{(n^2-n)+n}{n(n^2-n)}\\\\\\\frac{n^2}{n^3-n^2}\\\\\\\frac{n^2}{n^2(n-1)}\\\\\\\frac{1}{n-1}$