Question

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

Answer 1

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

Answer 2

Hence
\[

\left |\frac {\tan^{-1}(n)}{n} \right |< \frac {\pi } {2n}

\]
Can you finish it now?

Answer 3

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

Answer 4

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

Answer 5

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