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Exponential Limits

  • Thread starter planauts
  • Start date
  • #1
86
0
Hi, I am having trouble with this exponential limit problem.

Homework Statement


[tex] \lim \ x \rightarrow 0 \ [ e^{-1/x}][/tex]

Homework Equations


Answer: 0

The Attempt at a Solution



[tex] \lim x \rightarrow 0 [/tex] e^(-x)^{-1}
[tex] \lim x \rightarrow 0 [/tex] e^{-1}^{x}^{-1}
I don't think the second step is right. When i did that I ended up getting 1, which is incorrect.

Thanks for your help!

EDIT: @Mentallic I fixed it, thanks.
 
Last edited:

Answers and Replies

  • #2
Mentallic
Homework Helper
3,798
94
Umm.. could you try fixing up your latex please. If you need a few characters to be exponentiated, type it as so: a^{bc}=[tex]a^{bc}[/tex] while a^bc=[tex]a^bc[/tex] so just replace your brackets with the curly brackets.
 
  • #3
Gib Z
Homework Helper
3,346
4
The limit does not exist. Check what the expression approaches from the left and from the right separately.
 

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