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Consider a > b>0 and let n N satisfy n 2. Prove that a/nfl/n < (a - b)/n. Hint: Play with function f(x) =

 

Consider a > b>0 and let n N satisfy n 2. Prove that a/nfl/n < (a - b)/n. Hint: Play with function f(x) = x/n - (x - 1)/n.

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Lets define a function fx x1n x11n for x 1 Then we have fx 1n x1nn 1n x11nn Since a ... blur-text-image

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