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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...

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- Thread starter Jalo
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- #1

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

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

- #2

Dick

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Did you try l'Hopital's rule?

- #3

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Did you try l'Hopital's rule?

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

- #4

Dick

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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?

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- #5

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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

- #6

Dick

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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.

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- #8

Dick

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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.

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