As x approaches 0, the denominator of the expression [(1/(x)−(1/x^(2)+x))] approaches infinity and the numerator approaches 0. Therefore, the expression approaches 0 as x approaches 0.
1. Evaluate the denominator of the expression [(1/(x)−(1/x^(2)+x))] as x approaches 0.
2. The denominator of the expression [(1/(x)−(1/x^(2)+x))] approaches infinity as x approaches 0.
3. Evaluate the numerator of the expression [(1/(x)−(1/x^(2)+x))] as x approaches 0.
4. The numerator of the expression [(1/(x)−(1/x^(2)+x))] approaches 0 as x approaches 0.
5. Therefore, the expression [(1/(x)−(1/x^(2)+x))] approaches 0 as x approaches 0.
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