Limit arctg (x)

1. Nov 15, 2011

Jalo

1. The problem statement, all variables and given/known data

I need help solving this limit. If anyone coud«ld help i'd be grateful

2. Relevant equations

3. The attempt at a solution

I have no idea how to solve the indetermination...

2. Nov 15, 2011

Dick

Did you try l'Hopital's rule?

3. Nov 15, 2011

Jalo

This is a problem for calculus 1, i'm not familiarized with l'Hospital's rule :\

4. Nov 15, 2011

Dick

Do you have any inequalities concerning arctan you can use? Something like 0<=arctan(u)<=u for u=>0?

Last edited: Nov 15, 2011
5. Nov 15, 2011

Jalo

All i've been given was the limit above. I'm supposed to know what's his limit when x tends to zero

6. Nov 15, 2011

Dick

You have know something about the arctan function to solve it. Can you solve it with the inequality I gave you in the last post? BTW I was sloppy and wrote it incorrectly. I fixed it.

7. Nov 16, 2011

KV-1

8. Nov 16, 2011