Evaluate limit?

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June 9th 2009, 10:49 PM
fardeen_gen

Evaluate limit?

$\lim_{n\rightarrow \infty} \frac{(-2)^n + 3^n}{(-2)^{n + 1} + 3^{n + 1}}$ is equal to?
June 9th 2009, 11:30 PM
o_O

$\frac{(-2)^n + 3^n}{(-2)^{n + 1} + 3^{n + 1}} \cdot {\color{red}\frac{\frac{1}{3^{n}}}{\frac{1}{3^{n}} }}$

$= \frac{\left(-\frac{2}{3}\right)^n + 1}{\left(-2\right)\left(-\frac{2}{3}\right)^n + 3 \cdot 1}$

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