Toronto Math Forum

MAT334--2020S => MAT334--Tests and Quizzes => Quiz 4 => Topic started by: Weiyin Wu on February 16, 2020, 08:26:05 PM

Title: TUT0401
Post by: Weiyin Wu on February 16, 2020, 08:26:05 PM
Find the radius of convergence of the given power series.
$$\sum_{k=1}^{\infty} k(z-1)^{k}$$
$$\frac{1}{R}=\lim_{k\to\infty} |\frac{a_{k+1}}{a_{k}}|=\lim_{k\to\infty} |\frac{k+1}{k}|=1$$
$$R=1$$