Consider the function For which value of is continuous at ?

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

Problem

Consider the function

f(x)=\begin{cases}\dfrac{x^{2}-4}{x-2}, & x\neq 2,\\ k, & x=2.\end{cases}

For which value of

k

f

continuous at

x=2

? (a) 2 (b) 4 (c) 0 (d) -4