How do you find discontinuity points?

1 Answer
Oct 17, 2014

Graphically, a discontinuity can be located at places where the function appears to "jump", oscillates wildly, goes to #+-oo#, or has a "hole". Analytically, one looks for #x#-values where the right and left-hand limits of the function have odd behaviors; fluctuating wildly, trending towards #+-oo#, being unequal to one another, or being unequal to the value of the function at that point.

A similar question was asked and answered here, if one desires a more detailed explanation: