For the memoryless continuous source $\{X_{i}\}^\infty_{i=1}$ with pdf $f_{X}$ defined on $S_{X}\subset\mathbb{R}$ and differential entropy $h(X)$, the following hold: 1. $$\lim_{n\to\infty}P_{X^{n}}\left(A_{\epsilon}^{(n)}\right)=1,\ \mbox{ i.e. }P_{X^{n}}\left(A_{\epsilon}^{(n)}\right)>1-\epsilon \ \mbox{ for }n\mbox{ sufficiently large}$$ 2. $$vol(A_{\epsilon}^{(n)})\le 2^{n(h(X))+\epsilon} \ \forall n$$ 3. $$vol(A_{\epsilon}^{(n)}>(1-\epsilon)2^{n(h(X)-\epsilon)}) \ \mbox{for }n\mbox{ sufficiently large}$$