33.9k views
5 votes
Can anyone explain why the limit of arctan(X) is pi/2 when X

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

1 Answer

2 votes

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

Can anyone explain why the limit of arctan(X) is pi/2 when X approaches to positive-example-1
User Vinoy Alexander
by
7.6k points

Related questions

1 answer
0 votes
199k views
1 answer
1 vote
148k views
asked Oct 12, 2017 156k views
Rodrigolece asked Oct 12, 2017
by Rodrigolece
7.8k points
2 answers
0 votes
156k views