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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\frac{\partial}{\partial x} ((- x^{4} + 7 x^{2} + 3 y)^{6})

(y - x y + x - 1) d x + x^{2} d y = 0

\int \frac{x + 49}{x} d x

\int \frac{x ^{3} ( 1 )}{1 - x ^{8}} d x

\frac{d}{d t} (- e^{- t} sin (t) + e^{- t} cos (t))

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