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Determine whether the series is absolutely convergent, conditionally convergent or divergent. C(-1)-IV7n' + 4 n=1 8n9 + 14 Part 1: Test _ lanl The series
Determine whether the series is absolutely convergent, conditionally convergent or divergent. C(-1)-IV7n' + 4 n=1 8n9 + 14 Part 1: Test _ lanl The series E lanl ? Justification: A. By the Limit Comparison Test, let bn = where c = . P = and n=1 lim lan OB. By the Divergence Test, lim |an| = Part 2: Conclusion The series _ an is ? Justification: O 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 on = C. _ an diverges byy the Divergence Test, because lim an =
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