Question

Find the limit as lim x → infinity arctan(e^x)

Answer 1

Well, e^x as x goes to infinity. So that basically makes the question as simple as what happens as arctan goes to infinity. If you know how the arctan graph looks, you can just know right off the bat.

Answer 2

Meant to say e^x goes to infinity as x goes to infinity.

Answer 3

arctan is the inverse of the tangent function, so the limit is from negative infinity to positive infinity?

Answer 4

Well, a limit is basically asking for a y-value. So if the arctan function goes infinitely down the x-values, what y-value does it approach?

Answer 5

-pi/2 to pi/2 ?

Answer 6

If it were going to negative infinity itd be -pi/2, but going to infinity, absolutely, pi/2 is the answer :3

Answer 7

Thank you so much for your help.

Answer 8

Np :3