Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\displaystyle \lim_{x \to +\infty} \: \frac {\sqrt x} {\ln x}$ is gelijk aan	A. 1
	B. 0
	C.
	D.
	E.

[ 6-2495 - op net sinds 27.1.14-(E)-21.11.2024 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\displaystyle \lim_{x \to \infty} \: \frac {\sqrt x} {\ln x} =$	A. 1
	B. 0
	C.
	D.
	E. ∞

Oplossing - Solution

${\color{DarkGreen} \lim_{x \to + \infty} \frac{\sqrt{x}}{ln\: x} \left ( =\frac{0}{0} \right )= \lim_{x \to + \infty}\frac{\frac{1}{2\sqrt{x}}}{\frac{1}{x}}= \lim_{x \to + \infty}\frac{x}{2\sqrt{x}}=\lim_{x \to + \infty}\frac{\sqrt{x}}{2}=\cdots }$