POWER SERIES + TAYLOR / MACLAURIN SERIES (1) Find the radius of convergence and interval of convergence of the series. (-1)nxn (a) > (d) E(-1)2 2n n2 n=0 ( 2n) ! 10nan (b) 3" ( x + 4)n 23 (e) > n=1 n=0 Vn (f) ( a + 2) n (c) 3n2 n n= 0 (2) Use the power series representation of 1 xin, lac THE SECOND DERIVATIVE TEST WITH CRITICAL POINT (XO, yo) Discriminant: D(xo, yo) = fxx(xo, yo) fyy(xo, yo) - Ifxy (xo, yo)]2 If D(xo, yo) 0, for > 0, (x0, yo) is a local minimum. If D(xo, yo) > 0, fox