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

question 147

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

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