If \(\rm \displaystyle\lim_{x \rightarrow 1} \dfrac{x^4-1}{x-1} = \lim_{x\rightarrow k} \dfrac{x^3-k^3}{x^2-k^2}\), where k ≠ 0, then what is the value of k?

If \(\rm \displaystyle\lim_{x \rightarrow 1} \dfrac{x^4-1}{x-1} = \li

1.	If \(\rm \displaystyle\lim_{x \rightarrow 1} \dfrac{x^4-1}{x-1} = \lim_{x\rightarrow k} \dfrac{x^3-k^3}{x^2-k^2}\), where k ≠ 0, then what is the value of k?
A.	\(\dfrac{2}{3}\)
B.	\(\dfrac{4}{3}\)
C.	\(\dfrac{8}{3}\)
D.	4
Answer» D. 4

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