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

Question

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

Quizplus · Accepted Answer

The Answer of 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

Provide an Appropriate Response lim⁡n→∞1nc=0 \lim _{n \rightarrow \infty} \frac{1}{n^{c}}=0 limn→∞​nc1​=0

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