What is the limit as x approaches 0+of 2/(x^2-x) ?

The limit as x approaches 0+of 2/(x^2-x) is -infinity

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limit as x approaches 0+of 2/(x^2-x)

x \to 0 + lim (\frac{2}{x ^{2} - x})

- \infty

Solution steps

x \to 0 + lim (\frac{2}{x ^{2} - x})

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{2} - x < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

What is the limit as x approaches 0+of 2/(x^2-x) ?
The limit as x approaches 0+of 2/(x^2-x) is -infinity