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Definition of $$e$$:
$$\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^x = e$$
Equivalent form: $$\lim_{x \to 0} (1 + x)^{1/x} = e$$.
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Definition of $$e$$:
$$\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^x = e$$
Equivalent form: $$\lim_{x \to 0} (1 + x)^{1/x} = e$$.
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