Question

Question below

Answer 1

Consider the sequence \[a_n=arctan(n)\]Given a value of \[\epsilon>0\]find an expression for N which will guarantee that whenever \[n>N, \left| arctan(n)-L \right|<epsilon\]

Answer 2

I found L to be\[L=\lim_{n \rightarrow \infty}a_n=\Pi/2\]