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Evaluate the limit $\lim_{x\to\infty }\left(\frac{x^{14}}{e^x}\right)$ by replacing all occurrences of $x$ by $\infty $
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$\frac{\infty ^{14}}{e^{\infty }}$
Learn how to solve limits to infinity problems step by step online. Find the limit of (x^14)/(e^x) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{x^{14}}{e^x}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so =\infty. In the fraction \frac{\infty }{e^{\infty }}, as the expression of the denominator grows faster than the numerator, the quotient approaches 0.