Wiskunde Multiple Choice Vraag

$\displaystyle\lim_{x\to 2}\,\frac{2-x}{\frac12-\frac 1x}=$	A. 1
	B. 2
	C. 4
	D. −4
	E. $\frac14$
	F. $-\,\frac14$
	G. 0

[ 5-6947 - op net sinds 15.7.2025-(E)-21.8.2025 ]

Translation in E N G L I S H

$\displaystyle\lim_{x\to 2}\,\frac{2-x}{\frac12-\frac 1x}=$	A. 1
	B. 2
	C. 4
	D. −4
	E. $\frac14$
	F. $-\,\frac14$
	G. 0

Oplossing - Solution

$\displaystyle\lim_{x\to 2}\,\frac{2-x}{\frac12-\frac 1x}=\lim_{x\to 2}\,\frac{2-x}{\frac{x-2}{2x}}=\lim_{x\to 2}\,\left(\frac{2-x}{x-2}\cdot 2x\right)=-1\cdot 2.2=-4$