What is the limit as x approaches 0 of 6/x-6/(x^2-x) ?

The limit as x approaches 0 of 6/x-6/(x^2-x) is diverges

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limit as x approaches 0 of 6/x-6/(x^2-x)

x \to 0 lim (\frac{6}{x} - \frac{6}{x ^{2} - x})

diverges

Solution steps

x \to 0 lim (\frac{6}{x} - \frac{6}{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{6}{x} - \frac{6}{x ^{2} - x}) = \infty

x \to 0 - lim (\frac{6}{x} - \frac{6}{x ^{2} - x}) = - \infty

= diverges

\int_{1}^{9} \frac{1}{9 - x} d x

\frac{d}{d y} (y z e^{x z})

\int - 32 x + 64 d x

ln (5 t)

x \frac{d ^{2} y}{d x ^{2}} - 4 x \frac{d y}{d x} = x^{4}

What is the limit as x approaches 0 of 6/x-6/(x^2-x) ?
The limit as x approaches 0 of 6/x-6/(x^2-x) is diverges