Define for . The function is extended at by setting . For which value of is…

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

Problem

Define

g(x)=\dfrac{x^{2}-16}{x-4}

for

x\neq4

. The function is extended at

x=4

by setting

g(4)=k

. For which value of

k

g

continuous on the closed interval

[2,4]

? (a)

0

(b)

4

(c)

8

(d)

12