Determine whether the sequence converges or diverges. If it converges, find the limit. (If the quantity diverges, enter DIVERGES.) (-1)+23 an = n + 5n + 6 Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R(x) 0.] f(x) = n = 0 f(x) = cos(3x) 8 Find the associated radius of convergence R. R = Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) 3 +7n2 lim a = n 00 + U = n n + 3n