What is the limit as x approaches 1+of 1/(x^2-x) ?

The limit as x approaches 1+of 1/(x^2-x) is infinity

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limit as x approaches 1+of 1/(x^2-x)

x \to 1 + lim (\frac{1}{x ^{2} - x})

\infty

Solution steps

x \to 1 + lim (\frac{1}{x ^{2} - x})

For

x

approaching

1

from the right

, x > 1 \Rightarrow x^{2} - x > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to - 4 lim (16 - x^{2})

x \to 0 lim (\frac{x + 1}{x ^{2} + 1})

x \to \infty lim (17)

x \to - \infty lim (3 x^{3})

x \to 1 lim (x^{2} + 3)

What is the limit as x approaches 1+of 1/(x^2-x) ?
The limit as x approaches 1+of 1/(x^2-x) is infinity