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Math Help - How could I show this?

  1. #1
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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. #2
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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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