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Thread: How could I show this?

  1. February 19th 2011, 12:56 PM #1
    colerelm1
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    How could I show this?

    Show by means of an example that lim x->a [f(x) + g(x)] may exist even though neither lim x->a f(x) nor lim x->a g(x) exists.

    How could I show this?
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  2. February 19th 2011, 01:00 PM #2
    Defunkt
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    One option is to take a function f, for which the limit at x=a does not exist, and then take g(x) = -f(x).
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