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Math Help - Generalized Sequence

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    Generalized Sequence

    This is my own question I was wondering of. We can generalize integration by using the Lebesque integral for bounded functions. Can we generalize the limit of a sequence for bounded sequences?

    For example how will we define \lim (-1)^n = ?.
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  2. #2
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    The Banach limit of the sequence ((-1)^n) is zero.
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    Sweet.
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