Question

$\lim_{x \to \infty} (1+7/3x)^5^x$

Answer 1

Второй замечательный предел:

$\displaystyle\lim_{x\to\infty}(1+\frac{7}{3x})^{\displaystyle 5x}=1^\infty=[\lim_{x\to\infty}(1+\frac{7}{3x})^{\displaystyle\frac{3x}{7}}]_{\to e}^{\displaystyle \frac{7*5x}{3x}}=e^{\displaystyle\frac{35}{3}}$