Question

Cálculo I
Lim sen (2x)/5x quando x tende a 0

Answer 1

$\lim_{x \to \0} \frac{sen2x}{5x} = \frac{1}{5} \lim_{x \to\00} \frac{sen2x}{x} = \frac{1}{5} \lim_{x \to \00} \frac{2sen2x}{2x} = \frac{2}{5} \lim_{x \to \00} \frac{sen2x}{2x} = \\ \\ \frac{2}{5} *1= \frac{2}{5}$