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Math Help - divergence of a sequence

  1. #1
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    divergence of a sequence

    Prove ,by using the ε-definition, that the sequence :

     S_{n} = (-1)^n diverges
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  2. #2
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    Question

    Quote Originally Posted by xalk View Post
    Prove ,by using the ε-definition, that the sequence :

     S_{n} = (-1)^n diverges
    The ε-definition proves that some number L is the limit of a sequence. I've never heard that one can prove that a sequences diverges using that definition. We can prove that some number L is not the limit of the sequence, buy i've no idea of how can i use that definition to prove the divergence. Can you give me some hint?
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    Have you read the sticky at the top opf this forum?

    CB
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