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Math Help - what is the formal proof that a sequence diverges ..

  1. #1
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    what is the formal proof that a sequence diverges ..

    i got (n^2+1)/n
    when n->infinity the limit is infinity.
    what is the formal proof that a sequence diverges ?
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  2. #2
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    If \varepsilon > 0 then \left( {\exists K \in \mathbb{Z}^ + } \right)\left[ {K > \varepsilon } \right].
    Now just note that \frac{{K^2 + 1}}{K} = K + \frac{1}{K} > K > \varepsilon .
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