Consider the function f(x)= cases x^2-a^2 x-a , & x a, 4, & x=a

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

Problem

Consider the function

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

For which value of

a

f

continuous at

x=a

? (a)

0

(b)

2

(c)

4

(d)

-2