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Math Help - prove

  1. #1
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    prove

    Let be a_z,a_2,...a_n real non-negativ numbers.Prove that: <br />
\lim_{x\to \infty} \sqrt[n]{{(a_1)^n+(a_2)^n+...+(a_k)^n}} =} max of{  {a_1,a_2,...,a_n}
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  2. #2
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    Suppose that 0<a_1<a_2.

    Then a_2  = \sqrt[n]{{a_2 ^n }} \leqslant \sqrt[n]{{a_1 ^n  + a_2 ^n }} \leqslant \sqrt[n]{{2a_2 ^n }} = \sqrt[n]{2}~a_2 .

    Just expand on that idea.
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