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Math Help - Limits: True, or false?

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    Limits: True, or false?

    By choosing one word within each parentheses, four statements can be made from the following. Which are false (give counterexample) and which are true?

    If Lim a_{n} is (positive, non-negative), then for large n the individual terms a_{n} are (positive, non-negative).
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    Quote Originally Posted by cgiulz View Post
    By choosing one word within each parentheses, four statements can be made from the following. Which are false (give counterexample) and which are true?

    If Lim a_{n} is (positive, non-negative), then for large n the individual terms a_{n} are (positive, non-negative).
    Theorem: If the limit of a sequence is positive then almost all the terms of the sequence are positive.
    The limit of \left( {\frac{{\left( { - 1} \right)^n }}{n}} \right) is non-negative.
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