Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\large \dpi{110}\displaystyle\: \lim_{x \to 0}\: \frac{\sin^3 3x}{5x}$ is gelijk aan	A. 1
	B. 0
	C. 0,6
	D. 1,8
	E. 0,36

[ 5-2962 - op net sinds 6.7.07-(E)-3.11.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\large \dpi{110}\displaystyle\: \lim_{x \to 0}\: \frac{\sin^3 3x}{5x}$ is equal to	A. 1
	B. 0
	C. 0.6
	D. 1.8
	E. 0.36

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\displaystyle \lim_{x \to 0}\frac{\sin^2 3x}{5x}=\displaystyle \lim_{x \to 0}\frac{\sin 3x . \sin 3x}{3x.\frac 53}=\displaystyle \lim_{x \to 0}\frac{\sin 3x}{3x}.\displaystyle \lim_{x \to 0}\frac{\sin 3x}{\frac 13}=1.0=0$