微積分問題 taylor series

圖: http://www.geocities.com/tweety90331/02.GIF

a. find the maclaurin series (hint: consider the partial fractions decomposition for f(x). )

b. fing the radius and the interval of convergence of the series from part a

c. confirm that the radius of convergence equals the distance from 0 to the closest singularity of f(x) (i.e. the zeros od the denominator of f(x).)

請把步驟寫的越清楚越好唷 ^^ thx, 因為我實在對taylor series很不了解