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Math Help - Sequence proof

  1. #1
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    Sequence proof

    Can anyone give an \epsilon - N proof that the sequence:

    xn = {\frac {2\,{n}^{2}+3}{4\,{n}^{2}+1}}

    tends to 1/2?

    Also more generally, give the \epsilon - N proof that the sequence {xn} n=1... infinity tends to x
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  2. #2
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    If 0 < \varepsilon  < 1 let n > \frac{{\sqrt {\frac{5}{{2\varepsilon }} - 1} }}{2}.
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  3. #3
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    Ok, i worked it through and i can understand that answer.

    Im having trouble with the general proof however?
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