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Math Help - Continous function (prove)

  1. #1
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    Continous function (prove)

    I am trying to prove that \sqrt[3]{id_\mathbb{R}} function is continous.

    Any help would be appreciated.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by doug View Post
    I am trying to prove that \sqrt[3]{id_\mathbb{R}} function is continous.

    Any help would be appreciated.
    What precisely are you having trouble with? Notice that x-y=\left(\sqrt[3]{x}\right)^3-\left(\sqrt[3]{y}\right)^3=\left(\sqrt[3]{x}-\sqrt[3]{y}\right)\left(x^{\frac{2}{3}}+\sqrt[3]{xy}+y^{\frac{2}{3}\right)
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