Chapter 13.CT, Problem 9CT

To determine

(a)

To find:

The sum of $\frac{1}{3}+\frac{2}{3^2}+\frac{2^2}{3^3}+\frac{2^3}{3^4}+\mathrm{...}+\frac{2^9}{3^{10}}$.

To determine

(b)

To find:

The sum $1+\frac{1}{2^{1/2}}+\frac{1}{2}+\frac{1}{2^{3/2}}+\mathrm{...}$.