Chapter 9, Problem 10RE

State whether each of the following is true or false. Justify and your answers.

$\begin{array}{l}\text{(a)}\text{The function }f(x)=x^{1/3}\text{has}\text{a}\text{Maclaurin}\text{series}\text{.}\\ \text{(b)}\text{1+}\frac{1}{2}-\frac{1}{2}+\frac{1}{3}-\frac{1}{3}+\frac{1}{4}-\frac{1}{4}+\mathrm{...}=1\\ \text{(c)}\text{1+}\frac{1}{2}-\frac{1}{2}+\frac{1}{2}-\frac{1}{2}+\frac{1}{2}-\frac{1}{2}+\mathrm{...}=1\end{array}$