What is the limit as x approaches 0+of 5/(x^2-x) ?

The limit as x approaches 0+of 5/(x^2-x) is -infinity

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limit as x approaches 0+of 5/(x^2-x)

x \to 0 + lim (\frac{5}{x ^{2} - x})

- \infty

Solution steps

x \to 0 + lim (\frac{5}{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

x^{2}, x^{3}, 0, 1

\int t (3 t + 2)^{\frac{3}{2}} d t

\int cos^{2} (t) d t

\int - 2 sin (2 t + 7) d t

3 sec (x), at x = \frac{π}{6}

What is the limit as x approaches 0+of 5/(x^2-x) ?
The limit as x approaches 0+of 5/(x^2-x) is -infinity