How do I calculate/prove limits for exponential functions: $\lim\limits_{n \rightarrow \infty}{\frac {2^{n+1}+3^{n+1}}{2^n + 3^n}} = 3$
simple convergence test $\lim_{n \to \infty} \frac{2^{n+1}+3^{n+1}}{2^n+3^n}$