Prologue: The series n=1 converges when 1 < r < 1 and diverges when |r| > 1. This is true regardless of the value of the constant p. When r = 1 the series is a p-series. It converges if p > 1 and diverges otherwise. Problem: Each of the series below can be compared to a series of the form converges. n= In each case, determine the best value of r and decide whether the series A. n=1 r = (6+n(3)")-7 This series ? . n=1 n" 72n 9 3n+n r = This series ? C. n+5 n +3 r = This series ? D. n=1 5n + 7n+6-2n 87+5 + 3n+3n r = This series ? 2