Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

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

[ 5-5035 - op net sinds 11.7.2020-(E)-3.11.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\displaystyle \lim_{x \to 1} \: \frac{x}{x-\sqrt{1+x}} =$	A. 1
	B. −
	C. − 1 −
	D. − 1 +
	E. − (1 + )

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\displaystyle \lim_{x \to 1} \: \frac{x}{x-\sqrt{1+x}}=\frac{1}{1-\sqrt{1+1}}=\frac{1}{1-\sqrt2} =\frac{1+\sqrt2}{1-2}=-1-\sqrt2$