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

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

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

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

diverges

Solution steps

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

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

= diverges

\int (x - \frac{2}{x}) d x

x \to 0 lim (x^{2} - 8 x + 9)

e^{6}

\frac{d}{d z} (\frac{1}{z})

\int_{7}^{\infty} \frac{2}{x ^{3}} d x

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