Provide an Appropriate Response $\lim _{n \rightarrow \infty} \frac{1}{n^{c}}=0$

Multiple Choice

Provide an appropriate response.
-It can be shown that $\lim _{n \rightarrow \infty} \frac{1}{n^{c}}=0$ for $c>0$ Find the smallest value of N such that $\mid\frac{1}{n^{c}}\mid$ < $\varepsilon$ for all n> N if

A) 11
B) 13
C) 10
D) 12