# [Real Analysis] Let $a>1$ and $K>0$. Show that there exists $n_0∈N$ such that $a^{n_0}>K$.

## Answer

**Answers can be viewed only if**

- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.

Dynkin

779

The answer is accepted.

Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.

- answered
- 321 views
- $10.00

### Related Questions

- Measure Theory and the Hahn Decomposition Theorem
- Prove that a closed subset of a compact set is compact.
- Prove that $A - B=A\cap B^c$
- real analysis
- Prove Holder-continuity for $\mu_\lambda (x) = \sum\limits_{n=1}^\infty \frac{ \cos(2^n x)}{2^{n \lambda} }$
- Prove that if $T \in L(V,W)$ then $ \|T\| = \inf \{M \in \R : \, \|Tv\| \le M\|v\| \textrm{ for all } v \in V \}.$
- Generalization of the Banach fixed point theorem
- Uniform convergence of functions