Question

Can anyone explain why the limit of arctan(X) is pi/2 when X

approaches to positive infinity?
Please show the steps, thank you.

Answer 1

Explanation:

Tan is sin/cos

sinx / cos x as x goes to pi/2 this approaches 1 / 0 (not really '0' but very small numbers as cos pi/2 is 0) ...or approaches infinity

so as x goes to infinity the arctan is pi/2

Here is a graph of tan x so you can see this