For which real value of does the limit exist and remain finite

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For which real value of

k

does the limit

\displaystyle \lim_{x\to 2}\frac{x^{2}+kx-6}{x-2}

exist and remain finite? Determine that value of

k

and the corresponding limit.