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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\frac{\partial}{\partial x} (x^{2} y + x y^{3})

x \to \infty lim (\frac{2}{3})

\frac{d}{d x} (1 + x^{\frac{3}{2}})

\frac{\partial}{\partial x} (\frac{7}{7 x + 8 y})

\int_{- \infty}^{6} r \cdot e^{\frac{r}{3}} d r

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