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

y = cos (5 x + 1)

\frac{6 x}{x + 3}

\frac{d}{d x} (\frac{x - 2}{x - 4})

\int cos (a x) cos (b x) d x

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

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