Limit of Indeterminate Form (0/0) using L'Hopital Rule

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Homework Help Overview

The discussion revolves around evaluating a limit that results in the indeterminate form (0/0) using L'Hopital's Rule. Participants are exploring the implications of this form and the methods to resolve it.

Discussion Character

  • Exploratory, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the application of L'Hopital's Rule and express uncertainty about its effectiveness. There are attempts to simplify the expression algebraically, with some questioning whether the limit could be zero.

Discussion Status

There is an ongoing exploration of different approaches to the limit. Some participants suggest revisiting the algebraic simplification instead of repeatedly applying L'Hopital's Rule. A shift in perspective occurs as one participant acknowledges a different limit after simplification.

Contextual Notes

Participants reference the use of external tools like WolframAlpha for verification, which raises questions about reliance on such resources. The discussion includes varying interpretations of the limit's value, indicating a lack of consensus on the correct approach.

planauts
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Homework Statement


http://puu.sh/1irk2


Homework Equations





The Attempt at a Solution


I am having trouble doing this question. I tried doing the L'Hopital but didn't work. When I subbed in 0 in the function, I got 0/0.

first time:
I got that: http://puu.sh/1iroz

It still gave me the indeterminate form (0/0). Could someone give me a hint on solving this limit, I know the answer is 0 (used wolframalpha) but I am unsure why it is.

Thanks
 
Last edited by a moderator:
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Use L'Hopital's rulke again on the new limit.
 
planauts said:

Homework Statement


http://puu.sh/1irk2


Homework Equations





The Attempt at a Solution


I am having trouble doing this question. I tried doing the L'Hopital but didn't work. When I subbed in 0 in the function, I got 0/0.

first time:
I got that: http://puu.sh/1iroz

It still gave me the indeterminate form (0/0). Could someone give me a hint on solving this limit, I know the answer is 0 (used wolframalpha) but I am unsure why it is.

Thanks

Use algebra to simplify your answer. I don't think the limit is zero.
 
Last edited by a moderator:
I also did not get zero

I would not suggest using L'hospital's rule again, it can be simplified to give you a limit which is not zero I believe
 
Nevermind, you are right. It is -1. I redid it, when I simplified it, all the x's that led to the evil division of zero disappeared.

Thanks
 

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