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Hi, I am having trouble with this exponential limit problem.

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

Answer: 0

[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.

## 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: