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

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

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

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

diverges

Solution steps

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

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

= diverges

\int_{0}^{6} 2 x^{2} - 16 x + 30 d x

\frac{d}{d x} (- 4 e^{- 2 x^{2}} x)

f (x) = 13 x^{- 3}

x \to 0 lim ((1 + 3 x)^{\frac{5}{x}})

\int 5 x e^{6 x} d x

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