Chapter 1.6, Problem 1.64P

(a)

To determine

To prove: $D(r,\in )=(3{\in }^2/4\pi ){(r^2+{\in }^2)}^{-5/2}$

To determine

To show: $D(0,\in )\to \infty$ as $\in \to 0$

(c)

To determine

To show: $D(r,\in )\to 0$ as $\in \to 0$

(d)

To determine

To check: The integral of $D(r,\in )$ overall space is 1.