I Was Doing a Problem on Electrostatics which required finding the charge density from the given electric field and then plot a graph of the charge density. I was able to find the charge density which is $$\rho=\frac{-Abε}{r^2}e^{-br}+4πεAδ(r)$$ but was not able plot it. When i looked the solution i was not able to understand it.

The reason for my confusion is the point r=0 where the left term is minus infinity and the right term is plus infinity. Can any one help me?