- #1
ehrenfest
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[SOLVED] rudin 8.5a
Find the following limit:
[tex]\lim_{x \to 0} \frac{e-(1+x)^{1/x}}{x}[/tex]
[tex]e = \lim_{x\to 0} (1+x)^{1/x}[/tex]
[tex]a^b = e^{b \log a}[/tex]
Is this the derivative of something? I doubt it is but that is the only way I would know how to do this.
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.