Find the value of that makes the function f(x)= cases x^ 2 -4 x-2 , & x 2

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

Problem

Find the value of

k

that makes the function

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

continuous at

x=2

. (a)

6

(b)

2

(c)

4

(d)

0