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**[SOLVED] rudin 8.5a**

## Homework Statement

Find the following limit:

[tex]\lim_{x \to 0} \frac{e-(1+x)^{1/x}}{x}[/tex]

## Homework Equations

[tex]e = \lim_{x\to 0} (1+x)^{1/x}[/tex]

[tex]a^b = e^{b \log a}[/tex]

## The Attempt at a Solution

Is this the derivative of something? I doubt it is but that is the only way I would know how to do this.