Let be defined by p(x)= cases x^ 2 -4 x-2 ,&x2

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let pp be defined by p(x)={x2−4x−2,x<23,x=2x−2,x>2.p(x)=\begin{cases}\dfrac{x^{2}-4}{x-2},&x<2\\3,&x=2\\ \sqrt{x-2},&x>2.\end{cases} Identify all xx-values at which pp is not continuous.

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