Let f(x)= cases x^2-4,&x<2, 3x-6,&x 2

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

Problem

Let f(x)={x2−4,x<2,3x−6,x≥2.f(x)=\begin{cases}x^2-4,&x<2,\\3x-6,&x\geq2.\end{cases} Determine lim⁡x→2f(x)\displaystyle\lim_{x\to2}f(x). (a) 44 (b) The limit does not exist. (c) 00 (d) −2-2

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