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For sequences ($$n \to \infty$$):
$$\lim_{n \to \infty} \left(1 + \frac{r}{n}\right)^n = e^r$$
Also: $$\lim_{n \to \infty} \frac{\log n}{n^k} = 0 \ (k \gt 0), \quad \lim_{n \to \infty} \sqrt[n]{a} = 1 \ (a \gt 0)$$.
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For sequences ($$n \to \infty$$):
$$\lim_{n \to \infty} \left(1 + \frac{r}{n}\right)^n = e^r$$
Also: $$\lim_{n \to \infty} \frac{\log n}{n^k} = 0 \ (k \gt 0), \quad \lim_{n \to \infty} \sqrt[n]{a} = 1 \ (a \gt 0)$$.
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