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Math Help - x^x

  1. #1
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    x^x

    How do I show that x^x->1 as x->0?
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  2. #2
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    You could try showing that x \log x \rightarrow 0 as x \rightarrow 0. If the limit exists it must be zero: consider x = 2^{-n}.
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  3. #3
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    Got it. Used l'Hopitals
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