Question

qual a resposta ???????

Answer 1

Explicação passo-a-passo:

Temos que:

$\sf lim_{n~\to~\infty}~\Big(1+\frac{1}{n}\Big)^n=e$

Assim:

$\sf lim_{\frac{n}{5}~\to~\infty}~\Big(1+\dfrac{1}{\frac{n}{5}}\Big)^{\frac{n}{5}}=e$

Se $\sf \dfrac{n}{5}~\to~\infty$, então $\sf n~\to~\infty$

$\sf lim_{n~\to~\infty}~\Big(1+\dfrac{1}{\frac{n}{5}}\Big)^{\frac{n}{5}}=e$

$\sf \red{lim_{n~\to~\infty}~\Big(1+\frac{5}{n}\Big)^{\frac{n}{5}}=e}$