Question

4) Calcule e simplifique:
n/n! - (n+1)/(n+1)!​

Answer 1

Resposta:

Explicação passo-a-passo:

$\displaystyle \frac{n}{n!} -\frac{(n+1)}{(n+1)!} =\frac{n}{n.(n-1)!} -\frac{(n+1)}{(n+1)(n)!} =\frac{1}{(n-1)!} -\frac{1}{n!} =\frac{1}{(n-1)!} -\frac{1}{n(n-1)!} =\frac{n-1}{n(n-1)!} =\frac{n-1}{n(n-1)(n-2)!} =\frac{1}{n(n-2)!}$