Let k(x)= cases x^ 2 -9 x-3 , & x 3

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

Problem

Let

k(x)=\begin{cases}\dfrac{x^{2}-9}{x-3}, & x\neq3,\\ k, & x=3.\end{cases}

The value of

k

that makes

k(x)

continuous at

x=3

is (a)

9

(b)

6

(c)

0

(d)

3