Toronto Math Forum
MAT3342020S => MAT334Tests and Quizzes => Quiz 4 => Topic started by: Weiyin Wu on February 16, 2020, 08:26:05 PM

Find the radius of convergence of the given power series.
$$\sum_{k=1}^{\infty} k(z1)^{k}$$
$$\frac{1}{R}=\lim_{k\to\infty} \frac{a_{k+1}}{a_{k}}=\lim_{k\to\infty} \frac{k+1}{k}=1$$
$$R=1$$