Removable Discontinuity

Author

Eric W. Weisstein
August 25, 2014

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/RemovableDiscontinuity.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/RemovableDiscontinuity.html.

©2014 Wolfram Research, Inc. except for portions noted otherwise

Plot

Limit[(x^2-1)/(x-1),x->1]

Plot[(x^2-1)/(x-1),{x,-3,3},PlotStyle->Red,PlotRange->3,Epilog->{Red,Disk[{1,2.5},.05],White,EdgeForm[Red],Disk[{1,2},.05]},AspectRatio->Automatic]