What is the limit as x approaches 2 of 1/(x^2-x-2) ?

The limit as x approaches 2 of 1/(x^2-x-2) is diverges

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limit as x approaches 2 of 1/(x^2-x-2)

x \to 2 lim (\frac{1}{x ^{2} - x - 2})

diverges

Solution steps

x \to 2 lim (\frac{1}{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{1}{x ^{2} - x - 2}) = \infty

x \to 2 - lim (\frac{1}{x ^{2} - x - 2}) = - \infty

= diverges

x \to 1 + lim ((x - 1)^{3})

x \to \frac{π}{2} lim (6 tan (x))

x \to 0 lim (\frac{sec ( x ) - cos ( x )}{3 x ^{2}})

x \to 2 lim (17.4)

x \to \frac{π}{2} lim (\frac{1}{x} sec (x))

What is the limit as x approaches 2 of 1/(x^2-x-2) ?
The limit as x approaches 2 of 1/(x^2-x-2) is diverges