Wiskunde Multiple Choice Vraag

$\displaystyle\lim_{\underset{>}{x\to1}}\;\frac{\sqrt[6]{x-1}}{\sqrt{x-1}}=$	A. 0
B. 1
C. 3
D. 6
E.

$\inline\\\displaystyle\lim_{\underset{>}{x\to1}}\;\frac{\sqrt[6]{x-1}}{\sqrt{x-1}}=\lim_{\underset{>}{x\to1}}\;\left[(x-1)^{\frac16}.(x-1)^{-\frac12}\right]=\lim_{\underset{>}{x\to1}}\;(x-1)^{\frac16-\frac36}\\=\lim_{\underset{>}{x\to1}}\;(x-1)^{-\frac13}=\lim_{\underset{>}{x\to1}}\;\frac{1}{\sqrt[3]{x-1}}=\frac{1}{'+0'}=+\infty$

^{gricha - vA156 - 30.3.2026}