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Let Q(x) be a function defined for xepsilon [e^(3), e^(6)] be a real valued differentiable function such that Q(e^(3))=1 and Q(x)=2/(x+"In"("In"x+3/("In")+e-4)) then maximum value of Q can't exceed a number l(l epsilon N), then minimum value of l is________

Answer»


Solution :`Q(x)` is an INCREASING FUNCTION
So, `int_(E^(3))^(e^(6))Q^(')(x)dxleint_(e^(3))^(e^(6)) 2/x dx`
`Q(e^(6))le7`


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