OJO:
[tex]\lim \limits^._{x \to 0} \frac{tg(x)}{x} = 1[/tex]
Entonces:
[tex] \lim\limits^._{ x \to0 } \frac{tan(5x)}{x} = \lim\limits^._{ x \to0 } \frac{5.tan(5x)}{5x} = 5 \lim\limits^._{ x \to0 } [ \frac{tan(5x)}{5x}] = 5 (1) = 5
[/tex]
Eso es todo!
