Examples for [[Order of Convergence]] Let $\set{q_{n}}$ be a [[Sequence]] such that $\lim_{ n \to \infty }q_{n} = \infty$. Let $r=\lim_{ n \to \infty } \frac{q_{n+1}}{q_{n}}$ Calculate $r$ for: - $2^n$ - $2^{3n}$ - $3^{n+2}$ - $2^{n}+5$