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If alpha+beta, gamma epsilon R^(+) such that alpha gamma =1/(beta) then maximum value of alpha^(beta+gamma), .beta^(beta+gamma).gamma^(alpha+beta) is_____ |
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Answer» Assume `alpha GE beta ge gamma` (SAY) `impliesalpha ge 1` and `gamma LE1` `:.(alpha^(beta+gamma).gamma^(alpha+beta))/((alpha gamma)^(alpha+gamma))=(gamma^(beta-gamma))/(alpha^(alpha-beta)) le 1` |
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