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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...
This is a problem for calculus 1, i'm not familiarized with l'Hospital's rule :\Did you try l'Hopital's rule?
Do you have any inequalities concerning arctan you can use? Something like 0<=arctan(u)<=u for u=>0?This is a problem for calculus 1, i'm not familiarized with l'Hospital's rule :\
All i've been given was the limit above. I'm supposed to know what's his limit when x tends to zeroDo you have any inequalities concerning arctan you can use? Something like -u<=arctan(u)<=u?
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.All i've been given was the limit above. I'm supposed to know what's his limit when x tends to zero
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.