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Math Help - 1 + 1/2 + 1/3 + ...

  1. #1
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    1 + 1/2 + 1/3 + ...

    Hi I need hints on any of these questions. I wasn’t able to express the series as a geometric sum or anything I could work with:

    1. Prove that 1+1/2+1/3+...+1/1000<10

    2. Prove that 1 + 1/2 + 1/3 + 1/4 + ... equals infinity
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  2. #2
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    Quote Originally Posted by Aquafina View Post
    Hi I need hints on any of these questions. I wasn’t able to express the series as a geometric sum or anything I could work with:

    1. Prove that 1+1/2+1/3+...+1/1000<10

    2. Prove that 1 + 1/2 + 1/3 + 1/4 + ... equals infinity
    One question per thread please.

    #2)Use the Integral Test.
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