Question: 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 

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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