A function is defined by h(x)= cases x^ 2 -1 x-1 , & x 1 3, & x=1 cases Explain why…

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

Problem

A function is defined by

h(x)=\begin{cases}\dfrac{x^{2}-1}{x-1}, & x\ne 1\\3, & x=1\end{cases}

Explain why

h

is not continuous at

x=1