Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

\(\boldsymbol{\text{Je weet dat }\frac {\sin 30^\circ} {30}=\frac {1}{60} }\) \(\boldsymbol{\text{Wat is nu de waarde van }\displaystyle }\) \(\boldsymbol{\small\displaystyle \lim_{p \to 0}\frac{\sin p^{\circ}}{p} ? }\)	A. \(\boldsymbol{1 }\)
	B. \(\boldsymbol{\frac {1} {2p} }\)
	C. \(\boldsymbol{\frac {180} {\pi} }\)
	D. \(\boldsymbol{\frac {\pi} {180} }\)
	E. \(\boldsymbol{0 }\)

[ 5-7397 - op net sinds 20.8.13-()-2.11.2023 ]

Translation in E N G L I S H

IN CONSTRUCTION	A.
	B.
	C.
	D.
	E.

Oplossing - Solution

$\lim_{p \to 0}\frac{\sin p^{\circ}}{p}= \lim_{p \to 0}\frac{\sin (p*\frac{\pi}{180})}{p}= \frac{\pi}{180} \cdot \lim_{p \to 0}\frac{\sin (p*\frac{\pi}{180})}{p*\frac{\pi}{180}}=\frac{\pi}{180}$

gricha