Evaluating a Limit with L'Hospital's Rule

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Homework Help Overview

The discussion revolves around evaluating the limit ##\lim_{a \rightarrow b} \frac{a^b-b^a}{a^a-b^b}##, focusing on the application of L'Hospital's rule and the use of logarithmic differentiation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of L'Hospital's rule and the differentiation process, with requests for clarification on the use of LaTeX formatting for mathematical expressions.

Discussion Status

There is an ongoing exchange where participants are seeking to clarify the steps taken in the application of L'Hospital's rule. Some participants have requested to see the work involved in the attempts made, indicating a focus on understanding the reasoning behind the differentiation.

Contextual Notes

Participants are encouraged to format their mathematical expressions correctly using LaTeX, which has led to questions about the meaning of the formatting symbols used in the thread.

Ali Muzamil
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Homework Statement
Evaluate ##\lim_{a \rightarrow b} \frac{a^b-b^a}{a^a-b^b}##

The attempt at a solution
I applied L'Hospital's rule and to differentiate it, I took the help of logs.
 
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Greg Bernhardt said:
Please show work and use ## for latex
## ?
 
Greg Bernhardt said:
Put your code between two sets of ##
What does ## mean?
 
Ali Muzamil said:
What does ## mean?
It means start code and end code. See I added them to your first post.
 
Ali Muzamil said:
The attempt at a solution
I applied L'Hospital's rule and to differentiate it, I took the help of logs.
Please show your work then. Where did you get stuck?
 

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