Solve Limit arctg (x) - Get Help Now

[Jalo]

Homework Statement

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

Homework Equations

The Attempt at a Solution

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

 

[Dick]

Did you try l'Hopital's rule?

 

[Jalo]

Did you try l'Hopital's rule?

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

 

[Dick]

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

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

 

[Jalo]

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

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

 

[Dick]

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

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.

 

[KV-1]

Jalo , use google!

https://www.physicsforums.com/showthread.php?t=153587

=P

same problem as you

 

[Dick]

Jalo , use google!

https://www.physicsforums.com/showthread.php?t=153587

=P

same problem as you

Judging by Jalo's other posts, I think the suggestion of treating arctan(x^2)/x as a difference quotient is the way to go.