Determine whether the series is absolutely convergent, conditionally convergent or divergent. (-1)"(8n) n i V81n4 - 1 Part 1: Test _ lanl The series E lanl ? Justification: . A. By the Limit Comparison Test, let _ br = >c( me ) where P = and lim lan n too bn B. By the Divergence Test, lim |an| = n-too Part 2: Conclusion The series _ an is ? Justification: A. _ lan| converges, therefore _ an is absolutely convergent by definition. O 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 bn = n-+00 . C. _ an diverges byy the Divergence Test, because lim an = n-+00