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Question
\[\lim_{n \to \infty} \left( 1 + \frac{x}{n} \right)^n\]
Solution
\[\lim_{n \to \infty} \left( 1 + \frac{x}{n} \right)^n \]
\[ = e^\lim_{n \to \infty} \left( \frac{x}{n} \right) \times n \]
\[ = e^x\]
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