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 diverges

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

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (\frac{32 x}{( x ^{2} + 3 ) ^{2}})

4 t^{- \frac{3}{8}}

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\frac{d}{d x} (sin^{- 2} (x^{2} + x))

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 diverges