Question

Como eu resolvo essa indeterminação desse limite?

Answer 1

Indeterminações são do tipo :

$\displaystyle \ 0.\infty \ \ ; \ \ \frac{0}{0} \ , \ \frac{\infty}{\infty} \ \ ; \ \ 0^{0} \ , \ \infty^{0} \ \ ; \ 1^{\infty}$

No limites temos :

$\displaystyle \lim_{\displaystyle \text x\to 5} \ \frac{\text x+3}{5-\text x } \\\\\\ \frac{5+3}{5-5 } \to \frac{8}{0} \to \text{Diverge para o infinito } \\\\\\\ \text{Temos}:\\\\\ \lim_{\displaystyle \text x\to 5^{+}} \frac{\text x+3}{5-\text x} = -\infty \\\\\\ \lim_{\displaystyle \text x\to 5^{-}} \frac{\text x+3}{5-\text x} = +\infty$