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Steps for Alternating Series Test
Suppose that we have a series ∑an and either an = (-1)n bn or an = (-1)n+1 bn where bn > 0 for all n. Then if,
1.
2. {bn} is a decreasing sequence
the series ∑an is convergent.
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112 in 8
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Prove that the Digraph of a partial order has no cycle of length greater than 1. Assume that there exists a cycle of length n ≥ 2 in the digraph of a partial order ≤ on a set A
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