Let . Then the number of values of for which does not exist…

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

Problem

Let f(x)=∣x3−6x2+x−6∣x3−6x2+x−6f(x)=\frac{|x^3-6x^2+x-6|}{x^3-6x^2+x-6}. Then the number of values of aa for which lim⁡x→af(x)\lim_{x\to a}f(x) does not exist is (1) 3 (2) 2 (3) 1 (4) 4

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