$lim x \to \infty {(1 + \frac{a}{x})}^{x}$ equals

a^{x}

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e

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a

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e^{a}

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Solution

The correct option is B $e^{a}$
$lim x \to \infty {(1 + \frac{a}{x})}^{x} = lim x \to \infty {(1 + \frac{a}{x})}^{\frac{x}{a} . a} = e^{a}$

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Similar questions

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a

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