Thread: Higher Limits, L'Hospital's Rule
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Old November 4th, 2007, 10:55 AM
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You don't need to apply that Rule, just remember that

\forall\,x\in\mathbb R,\,\lim_{n\to\infty}\left(1+\frac xn\right)^n=e^{x}.

And,

\lim_{x \to \infty } \left( {1 + \frac{7}{x}} \right)^{x/5} = \lim_{x \to \infty } \left[ {\left( {1 + \frac{7}{x}} \right)^x } \right]^{1/5}
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