009C Sample Final 2, Problem 4

(a) Find the radius of convergence for the power series

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=1}^{\infty} (-1)^n \frac{x^n}{n}.}

(b) Find the interval of convergence of the above series.