What is the limit as x approaches 0 of 1/x-1/(x^2-x) ?

The limit as x approaches 0 of 1/x-1/(x^2-x) is diverges

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limit as x approaches 0 of 1/x-1/(x^2-x)

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

x \to 0 - lim (\frac{1}{x} - \frac{1}{x ^{2} - x}) = - \infty

= diverges

- \frac{1}{2} x^{2}

\int cos^{\frac{1}{2}} (x) d x

\frac{\partial}{\partial z} (5 x sin (y - z))

f (x) = \frac{1}{7 ( 1 + x ^{2} )}, g (x) = \frac{1}{14 x ^{2}}

\int \frac{x ^{2} + 2}{x ^{3} + 3 x ^{2} + 2 x} d x

What is the limit as x approaches 0 of 1/x-1/(x^2-x) ?
The limit as x approaches 0 of 1/x-1/(x^2-x) is diverges