TUT0401

[Weiyin Wu]

Find the radius of convergence of the given power series.
$$\sum_{k=1}^{\infty} k(z-1)^{k}$$
$$\frac{1}{R}=\lim_{k\to\infty} |\frac{a_{k+1}}{a_{k}}|=\lim_{k\to\infty} |\frac{k+1}{k}|=1$$
$$R=1$$