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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 Your problem has not been solved here? Please take a look at the hot problems !