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

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

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

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

diverges

Solution steps

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

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

= diverges

\int \frac{20}{x 1 + 2 x} d x

\int \frac{x}{x ^{2} + 2 x + 5} d x

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

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

\int_{0}^{2} x x^{2} + 1 d x

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