Chapter 1.14, Problem 10P

Show that the interval of convergence of the series ${\displaystyle {\sum }_{n=1}^{\infty }{x}^n/(n^2/n)}$ is $\left|x\right|\le 1$.

(For x = 1, this is the series of Problem 9.) Using theorem (14.4), show that for $x=\frac{1}{2}$ four terms will give two decimal place accuracy.