calculus help?

Question

Use differentiation to show that the sequence is monotonic and classify it as increasing or decreasing.

{arctan n} n=1 to infinity

Answer 1

Take the function y = Arctan x
the derivative is y´= 1/(1+x^2) positive so this is an increasing function
and so arctan(n+1)>arctan (n) so the sequence is monotonic increasing