If a > b >0, with the aid of Lagr...

If `a > b >0,` with the aid of Lagranges mean value theorem, prove that `n b^(n-1)(a-b) < a^n -b^n < n a^(n-1)(a-b) , if n >1.` `n b^(n-1)(a-b) > a^n-b^n > n a^(n-1)(a-b) , if 0 < n < 1.`

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