Solve Limit arctg (x) - Get Help Now

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Homework Help Overview

The discussion revolves around solving a limit involving the arctangent function, specifically as x approaches zero. The context is situated within a calculus 1 framework, focusing on techniques for evaluating limits.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the potential use of l'Hôpital's rule and inequalities related to the arctangent function. There are inquiries about the application of these methods and the necessary understanding of the arctan function to approach the limit.

Discussion Status

Several participants have offered suggestions regarding methods to evaluate the limit, including the use of inequalities and l'Hôpital's rule. There is an ongoing exploration of different approaches, with no explicit consensus reached yet.

Contextual Notes

Participants note that the original poster has limited information and is expected to know the limit's behavior as x approaches zero. There is mention of a previous similar problem that may provide additional context.

Jalo
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Homework Statement



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





The Attempt at a Solution



I have no idea how to solve the indetermination...
 
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Did you try l'Hopital's rule?
 
Dick said:
Did you try l'Hopital's rule?

This is a problem for calculus 1, I'm not familiarized with l'Hospital's rule :\
 
Jalo said:
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?
 
Last edited:
Dick said:
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
 
Jalo said:
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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