Let f(x)= cases x^ 2 -4 x-2 , & x 2, , & x=2

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

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

Determine the value of

k

that makes

f

continuous at

x=2