1. The problem statement, all variables and given/known data "as long as the volume charge density is finite (which is not true of surface charge distributions or point charges), the electric field is continuous. 2. Relevant equations 3. The attempt at a solution I know that for surface charges distributions and point charges, the electric field isn't continuous, because the electric field changes direction...but what does the sentence mean when it says "finite volume charge density?" thanks to anyone who replies.