Determine whether the series is absolutely convergent, conditionally convergent or divergent. 0O E(-1)-1 8Vn n- 1 6n + 1 Part 1: Test _ lanl The series E lanl ? Justification: . A. By the Limit Comparison Test, let ) on= ic ( me ) where c = P = and n=1 n= 1 lim an n-too bn B. By the Divergence Test, lim |an| = n-too Part 2: Conclusion The series _ an is ? Justification: O A. E lan| converges, therefore _ an is absolutely convergent by definition. B. _ an converges by the Alternating Series Test, because: i) {bn } is ultimately decreasing because the function f satifying f (n) = bn is decreasing on the interval ii) lim on = n-+00 C. _ an diverges byy the Divergence Test, because lim an = n-too