Let g(x)= cases x^2-4 x-2 , & x 2, , & x=2

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

Problem

Let

g(x)=\begin{cases}\dfrac{x^2-4}{x-2}, & x\ne2,\\k, & x=2.\end{cases}

Find the value of

k

that makes

g

continuous at

x=2

. (a)

0

(b)

2

(c)

4

(d)

-4