Limit Question (Using logarithm and L'Hopital's Rule)

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Homework Help Overview

The discussion revolves around a limit problem involving logarithms and L'Hôpital's Rule. Participants are examining the manipulation of logarithmic expressions and the application of limit properties.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the correct application of logarithmic identities and express confusion about the steps following a particular line in their work. There are suggestions to reconsider the arrangement of the limit in the original expression.

Discussion Status

The conversation is ongoing, with some participants seeking clarification on the suggested approaches. There is an acknowledgment of the need for further guidance, particularly in understanding the manipulation of the limit and logarithmic functions.

Contextual Notes

Participants note the urgency of the homework due date and express a lack of clarity regarding the steps needed to progress in the problem. There is a reference to foundational concepts related to limits and exponential functions.

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Note that ln(a/b) != ln a/ln b
 
Last edited by a moderator:
You're going about it completely the wrong way. Try moving the limit around in the original expression.
 
I apologize but what do you mean and how? Can you show some steps it's been a while and due date is coming up soon and I still haven't figured it out!
 
neden said:
I apologize but what do you mean and how? Can you show some steps it's been a while and due date is coming up soon and I still haven't figured it out!

Remember that:

e = \lim_{n\to\infty} \left( 1 + \frac{1}{n} \right)^n

by definition. Also remember the laws for manipulating limits.
 

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