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Math Help - Problem on limits of a sequence.

  1. #1
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    Problem on limits of a sequence.

    Hi everyone,

    This is a question I had thought about after we had learnt about limits of a sequence.

    Using the definition of limits of a sequence can we disprove that,

    \lim_{n\rightarrow{\infty}}\frac{1}{n^2}=1

    Thank you.
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  2. #2
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    Are you sure you're not missing a summation in there?

    \frac{\frac{1}{(n+1)^{2}}}{\frac{1}{n^{2}}}\;=\;\f  rac{n^{2}}{n^{2}+OtherStuff}\;<\;1

    The terms are decreasing.

    \frac{1}{2^{2}}\;=\;\frac{1}{4}\;<\;1

    I think we're done as the problem has been posted.
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