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Question

Evaluate: $lim x \to 0 \frac{{(x + 1)}^{5} - 1}{x}$

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Solution

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$l i m_{x \to 0} \frac{(x + 1)^{5} - 1}{x}$

$= l i m_{x \to 0} \frac{5 (x + 1)^{4}}{1}$

$= 5 (0 + 1)^{4} = 5$

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