Mathematics
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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 abs(ln(1+x)-x+1/2x^2-1/3x^3) <1/99 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( ln ( 1 + x ) - x + 1 / 2 * x ^ 2 - 1 / 3 * x ^ 3 ) <1 / 99         (1)
        From the definition field of ln
         1 + x > 0        (2 )

    From inequality(1):
         -0.405563 < x < 0.4863
    From inequality(2):
         x > -1

    From inequalities (1) and (2)
         -0.405563 < x < 0.4863     (3)

    The final solution set is :

         -0.405563 < x < 0.4863




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