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

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

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

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

diverges

Solution steps

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

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

= diverges

f (x) = \frac{e ^{x}}{4 x + 1}

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

y = \frac{2 x}{x + 1}, (1, 1)

\frac{d}{d x} (\frac{5 x}{x + 1})

x \to + (- 1) lim (\frac{sin ( x )}{x})

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