Hi can someone please help me with a limit of a sequence?
Lim as N approaches infinity {Tan^-1 n / n }

Question

Hi can someone please help me with a limit of a sequence? 
Lim as N approaches infinity {Tan^-1 n / n }

anonymous · Answer

$$
- \frac \pi 2< Tan^{-1} n< \frac \pi 2
$$
What can you conclude?

anonymous · Answer

Hence
$$

\left  |\frac   {\tan^{-1}(n)}{n}    \right |< \frac {\pi } {2n}

$$
Can you finish it now?

anonymous · Answer

Im sorry I really dont see how you got from the first step to the second.....

anonymous · Answer

If a number x is between -5 and 5 then the absolute value of x is less than 5

anonymous · Answer

and if 
$$
| x| < 5
$$
then 
$$
 \left |\frac x n \right |< \frac 5 n
$$