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Question
\[\lim_{x \to 5} \frac{e^x - e^5}{x - 5}\]
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Solution
\[\lim_{x \to 5} \left[ \frac{e^x - e^5}{x - 5} \right]\]
\[ = \lim_{x \to 5} e^5 \left[ \frac{e^{x - 5} - 1}{x - 5} \right]\]
\[ = e^5 \times 1\]
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