$\lim_{n \to \infty} \frac{(-2)^n+3^n}{(-2)^{n+1}+3^{n+1}}=?$ I have a question:
$$\lim_{n \to \infty} \frac{(-2)^n+3^n}{(-2)^{n+1}+3^{n+1}}=?$$
Thanks for your help>

Hint: As $n$ goes to $\infty$, what is the ratio of $\large\frac{(-2)^n}{3^n}$. What does this ratio tell you about the importance of the addition?
