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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 0 <(lnx)/(x^(0.5)) <0.0000001 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 < ( ln x ) / ( x ^ ( 0.5 ) )         (1)
         ( ln x ) / ( x ^ ( 0.5 ) ) <0.0000001         (2)
        From the definition field of ln
        x > 0        (3 )
        From the definition field of divisor
         x ^ ( 0.5 ) ≠ 0        (4 )

    From inequality(1):
         x > 1
    From inequality(2):
         x < 1
    From inequality(3):
         x > 0
    From inequality(4):
         x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    From inequalities (1) and (2)
         1 < x < 1     (5)
    From inequalities (3) and (5)
         1 < x < 1     (6)
    From inequalities (4) and (6)
         1 < x < 1     (7)

    The final solution set is :

         1 < x < 1




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