Let g(x)= cases x^ 2 -1 x-1 , & x 1, 2, & x=1

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

Problem

Let g(x)={x2−1x−1,x≠1,2,x=1.g(x)=\begin{cases}\dfrac{x^{2}-1}{x-1}, & x\neq1,\\ 2, & x=1.\end{cases} Is g(x)g(x) continuous at x=1x=1? Give a brief reason for your answer.

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