1.

Prove that ((a+b)/2)^(a+b) ge a^(b) .b^(a)[ a, b in N]

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ANSWER :` :. (a+b)/2 GE (2ab)/(a+b) ge (a^(b)b^(a))^(1(a+b))rArr((a+b)/2)^(a+b)GEA^(b).b^(a)`


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