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

$\displaystyle S_{n} = (-1)^n$ diverges

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- Dec 3rd 2009, 08:10 AMxalkdivergence of a sequence
Prove ,by using the ε-definition, that the sequence :

$\displaystyle S_{n} = (-1)^n$ diverges - Feb 13th 2010, 12:52 PMfelper
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?

- Feb 13th 2010, 01:55 PMCaptainBlack
Have you read the sticky at the top opf this forum?

CB