${lim}_{n \to \infty} {(1 + \frac{x}{n})}^{n}$

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Solution

${lim}_{n \to \infty} {(1 + \frac{x}{n})}^{n} = e^{{lim}_{n \to \infty} (\frac{x}{n}) n} = e^{x}$

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