Question

Calcule o limite da questão
lim(1+1/x)-×
ț-+°°

Answer 1

Resposta:

Explicação passo-a-passo:

$\lim_{n \to \infty} (1 + \frac{1}{x} )^{-x} =\\\\\\ \lim_{n \to \infty} \frac{1}{(1 + \frac{1}{x} )^{x} } =\\\\\frac{ \lim_{n \to \infty} 1}{ \lim_{n \to \infty} (1+\frac{1}{x} )^{x} } \\\\ \lim_{n \to \infty} 1 = 1\\\\ \lim_{n \to \infty} (1+\frac{1}{x} )^{x} = e\\\\Logo: \lim_{n \to \infty} (1 + \frac{1}{x} )^{-x} = \frac{1}{e}$