Recent content by sprstph14

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    Real Analysis: Sequences and Series

    thanks. I guess I just really don't know what I'm doing.
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    Real Analysis: convergence and divergence

    Homework Statement Suppose \sum n converges and an is greater than 0 for all n. Show that the sum of 1/an diverges. Homework Equations The Attempt at a Solution
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    Real Analysis: Sequences and Series

    Suppose that ak is a decreasing sequence and (ak) approaches 0. Prove that for every k in the natural numbers, ak is greater than or equal to 0. I was thinking I should assume the sequence is bounded below by 0 and do a proof by contradiction. Any suggestions?