For the function f(x)= cases 1,& x 0 0,& x=0 cases

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

Problem

For the function

f(x)=\begin{cases}1,& x\ne 0\\0,& x=0\end{cases},

identify the type of discontinuity (if any) at

x=0

and give a brief reason.