1-show-that-lim-n-2-2022-n-2-3-n-0-

Question Number 173401 by DAVONG last updated on 11/Jul/22

1 . show that \lim_{n \to + \propto} \frac{2^{2022} n^{2}}{3^{n}} = 0 ?

Commented by alephzero last updated on 11/Jul/22

\lim_{n \to \infty} \frac{2^{2022} n^{2}}{3^{n}} = 2^{2022} \lim_{n \to \infty} \frac{n^{2}}{3^{n}} = 2^{2022} \times 0

= 0

★ \lim_{n \to \infty} \frac{n^{a}}{α^{n}} = 0 \forall a \forall α