Provide an appropriate response.
-It can be shown that $\lim _ { n \rightarrow } \frac { \ln n } { n ^ { c } } = 0$ for $c > 0$ . Find the smallest value of $N$ such that $\left| \frac { \ln n } { n ^ { c } } \right| < \varepsilon$ for all $n > N$ if $\varepsilon = 0.01$ and $c = 1.8$ .

Question

Provide an appropriate response.
-It can be shown that $\lim _ { n \rightarrow } \frac { \ln n } { n ^ { c } } = 0$ for $c > 0$. Find the smallest value of $N$ such that $\left| \frac { \ln n } { n ^ { c } } \right| < \varepsilon$ for all $n > N$ if $\varepsilon = 0.01$ and $c = 1.8$.
A) 31
B) 28
C) 35
D) 25

Quizplus · Accepted Answer

The Answer of Provide an appropriate response.
-It can be shown that $\lim _ { n \rightarrow } \frac { \ln n } { n ^ { c } } = 0$ for $c > 0$. Find the smallest value of $N$ such that $\left| \frac { \ln n } { n ^ { c } } \right| < \varepsilon$ for all $n > N$ if $\varepsilon = 0.01$ and $c = 1.8$.
A) 31
B) 28
C) 35
D) 25

Provide an Appropriate Response lim⁡n→ln⁡nnc=0\lim _ { n \rightarrow } \frac { \ln n } { n ^ { c } } = 0limn→​nclnn​=0

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