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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 (1+1/x)^ln(1+1/x) <2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 1 + 1 / x ) ^ ln ( 1 + 1 / x ) <2         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of ln
         1 + 1 / x > 0        (4 )

    From inequality(1):
         x < -1.769713 或  x > 0.769713
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < 0 或  x > 0
    From inequality(4):
         x < -1 或  x > 0

    From inequalities (1) and (2)
         x < -1.769713 或  x > 0.769713    (5)
    From inequalities (3) and (5)
         x < -1.769713 或  x > 0.769713    (6)
    From inequalities (4) and (6)
         x < -1.769713 或  x > 0.769713    (7)

    The final solution set is :

         x < -1.769713 或  x > 0.769713




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