For which value of does the limit exist as a finite number

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For which value of

k

does the limit

\displaystyle \lim_{x\to1} \frac{x^{2}-k}{x-1}

exist as a finite number, and what is that limit? (a)

k=1

; the limit equals

0

(b)

k=0

; the limit equals

1

(c)

k=1

; the limit equals

2

(d) No real value of

k

makes the limit finite