Let f(x)= cases x^ 2 +ax-2a-4 x-2 , & x<2 4x-a, & x 2 cases Determine the value of…

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

Problem

Let

f(x)=\begin{cases} \dfrac{x^{2}+ax-2a-4}{x-2}, & x<2\\ 4x-a, & x\ge 2 \end{cases}

Determine the value of

a

for which

\displaystyle\lim_{x\to 2}f(x)

exists. (a)

a=4

(b)

a=2

(c)

a=3

(d)

a=-2