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Math Help - Covergent and Divergent Sequences - Real Analysis

  1. #1
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    Covergent and Divergent Sequences - Real Analysis

    So I want 2 sequences a and b that are not convergent, but a+b is a convergent sequence.
    I can not seem to get this one. I've been thinking about it too long and my brain is fried.
    Like could I use (-1)^n for a. My problem is finding a b so that the two added together will converge. Can someone please help me and give me some pointers?
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  2. #2
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    Take for example the sequences n and -n.
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  3. #3
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    What about \sum 1/n and \sum -1/n?
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