Basic Analysis I — Real Analysis · Problem 5.4.5

The Riemann Integral — Jiri Lebl

Mathematics — Real Analysis · exponential-limit

Problem

Show ex=lim⁡n→∞(1+xn)n.e^x = \lim_{n\to\infty}\left(1 + \frac{x}{n}\right)^n. Hint: Take the logarithm.

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