Limit of (e^-x+x-1)/(xsinx) as x approaches 0

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Homework Help Overview

The problem involves evaluating the limit of the expression (e^-x + x - 1) / (x sin x) as x approaches 0. This falls under the subject area of calculus, specifically limits and indeterminate forms.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants mention attempts to apply L'Hopital's rule but express that it complicates the problem further. There are requests for clarification on the steps taken in the attempts.

Discussion Status

The discussion appears to be in an early stage, with participants sharing their attempts and seeking further guidance. There is a lack of explicit consensus on the approach to take, and the thread has been closed for the original poster to start anew with more detailed work.

Contextual Notes

Participants are encouraged to show their work, indicating a focus on understanding the process rather than just the solution. The thread has been closed, suggesting a need for clearer presentation of attempts.

Nathew

Homework Statement


Lim x→0 (e^-x+x-1)/(xsinx)


The Attempt at a Solution



I've tried L'Hopital's multiple times but it only gets more complicated.
 
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Nathew said:

Homework Statement


Lim x→0 (e^-x+x-1)/(xsinx)


The Attempt at a Solution



I've tried L'Hopital's multiple times but it only gets more complicated.

Show your work.
 
Hi Nathew! :wink:
Nathew said:
I've tried L'Hopital's multiple times but it only gets more complicated.

Shouldn't :confused:

show us your first two. :smile:
 
Thread closed. Nathew, please start a new thread that shows what you have tried.
 

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