Define the function For which value of does have a removable discontinuity at ?

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Define the function

\displaystyle f(x)=\begin{cases}\dfrac{x^2-kx-6}{x-3}, & x\neq 3,\\[4pt]k, & x=3.\end{cases}

For which value of

k

does

f

have a removable discontinuity at

x=3

? (a) 5 (b) 0 (c) 1 (d) -1