Limits involving natural exponential

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Homework Help Overview

The discussion revolves around evaluating the limit of the expression e^(3/(2-x)) as x approaches 2 from the right. The subject area involves limits and the behavior of exponential functions in calculus.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the behavior of the expression 3/(2-x) as x approaches 2 from the right, questioning how this affects the limit of the overall expression.

Discussion Status

Some participants suggest that as x approaches 2 from the right, the expression inside the exponential becomes increasingly negative, leading to a potential limit of 0. However, the discussion does not reach a definitive conclusion.

Contextual Notes

There appears to be some uncertainty regarding the interpretation of the limit and the behavior of the function as x approaches 2.

synergix
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Homework Statement



lim e3/(2-x)
x->2+

The Attempt at a Solution



I can't seem to get started on this one.
 
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What's the behavior of 3/(2-x) like as x->2+?
 
e will be raised to a larger and larger negative number as x approaches 2+ and so the limit will approach 0.
 
synergix said:
e will be raised to a larger and larger negative number as x approaches 2+ and so the limit will approach 0.

Sure, absolutely.
 

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