Question

Para:
$\displaystyle\lim\limits_{x\to -4}\ \frac{ (x+4)^4 }{ tg^4\left(\frac{x+4}{5}\right) }.$
Qual a solução?

Answer 1

$\lim_{x \to \ -4} \frac{(x+4)^4}{tg^4(\frac{x+4}{5} )}$

$(\frac{(x+4)^4}{(\frac{x+4}{5})^4 })$

$(\frac{(x+4)^4}{\frac{(x+4)^4}{625} } )$

$\frac{(x+4)^4 \times 625}{(x+4)^4}$

$625$