MATH-2212: Calculus of One Variable II Worksheet for section 11.8 Worksheet for Section 11.8 - Power Series Practice problems 1. For each of the given power series, find its radius of convergence and its interval of convergence. (Note: Don't forget to examine the endpoints, when applicable!) (a) > (x - 8)" er( - 1)n n = 1 n= n2 - (2 + 4 ) n (i) Lin( 2 - 4)n ( b) (-1) ( 2+1)n on" (x - 12 ) " n=0 5n+1 (f) > 4n x2n n= 0 n2 + 2 no (2n + 1)! n= n3n nsin5n (* + 3 )n (k) ( -1)n (d) 0 4" ( x + 5 ) n n=1 (2n - 1)3n (2 - 7)n " (2.x - 1 )n n =0 n! (h) 3n n n= n' +1 1