What is the limit as x approaches 0-of 3/(x^2-x) ?

The limit as x approaches 0-of 3/(x^2-x) is infinity

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limit as x approaches 0-of 3/(x^2-x)

x \to 0 - lim (\frac{3}{x ^{2} - x})

\infty

Solution steps

x \to 0 - lim (\frac{3}{x ^{2} - x})

For

x

approaching

0

from the left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

What is the limit as x approaches 0-of 3/(x^2-x) ?
The limit as x approaches 0-of 3/(x^2-x) is infinity