lim-x-x-2-3-x-

Question Number 184341 by Davidtim last updated on 05/Jan/23

l i \underset{x \to \infty}{m} \frac{x^{2}}{3^{x}} = ?

Commented by JDamian last updated on 05/Jan/23

zero, as the denominator tends to infinity faster than the numerator does.

Answered by SEKRET last updated on 05/Jan/23

\lim_{x \to \infty} \frac{x^{2}}{3^{x}} = \lim_{x \to \infty} \frac{2 x}{3^{x} \ln (3)} = \lim_{x \to \infty} \frac{2}{3^{x} \ln^{2} (3)} = 0

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