What is the limit as x approaches 0 of 3/(x(x-1)) ?

The limit as x approaches 0 of 3/(x(x-1)) is diverges

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limit as x approaches 0 of 3/(x(x-1))

x \to 0 lim (\frac{3}{x ( x - 1 )})

diverges

Solution steps

x \to 0 lim (\frac{3}{x ( x - 1 )})

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

then the limit does not exist

x \to 0 + lim (\frac{3}{x ( x - 1 )}) = - \infty

x \to 0 - lim (\frac{3}{x ( x - 1 )}) = \infty

= diverges

\int \frac{x ^{3}}{x ^{2} + 81} d x

f (x) = \frac{2 x ^{2} - x}{x + 5}

\int 3 arctan (x) d x

5 x^{2} + \frac{1}{x ^{2}}

\frac{x + 1}{x ^{3} + x - 3}

What is the limit as x approaches 0 of 3/(x(x-1)) ?
The limit as x approaches 0 of 3/(x(x-1)) is diverges