Consider f(x)= cases x^ 2 -4 x-2 ,& x2

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

Problem

Consider f(x)={x2−4x−2,x<2,x+2,x>2.f(x)=\begin{cases}\dfrac{x^{2}-4}{x-2},& x<2,\\x+2,& x>2.\end{cases} Find lim⁡x→2f(x)\displaystyle\lim_{x\to2}f(x). (a) Does not exist (b) 00 (c) 44 (d) 66

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