What is the limit as x approaches infinity of (1+(10)/x)^{5x} ?

The limit as x approaches infinity of (1+(10)/x)^{5x} is e^{50}

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limit as x approaches infinity of (1+(10)/x)^{5x}

x \to \infty lim ((1 + \frac{10}{x})^{5 x})

e^{50}

Decimal

5.18471 E 21

Solution steps

x \to \infty lim ((1 + \frac{10}{x})^{5 x})

Apply exponent rules

= x \to \infty lim (e^{5 x l n (1 + \frac{10}{x})})

Apply the Limit Chain Rule:

e^{50}

= e^{50}

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What is the limit as x approaches infinity of (1+(10)/x)^{5x} ?
The limit as x approaches infinity of (1+(10)/x)^{5x} is e^{50}