What is the limit as x approaches-1 of (x^2-2)/(x^2-5x-6) ?

The limit as x approaches-1 of (x^2-2)/(x^2-5x-6) is diverges

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limit as x approaches-1 of (x^2-2)/(x^2-5x-6)

x \to - 1 lim (\frac{x ^{2} - 2}{x ^{2} - 5 x - 6})

diverges

Solution steps

x \to - 1 lim (\frac{x ^{2} - 2}{x ^{2} - 5 x - 6})

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

then the limit does not exist

x \to - 1 + lim (\frac{x ^{2} - 2}{x ^{2} - 5 x - 6}) = \infty

x \to - 1 - lim (\frac{x ^{2} - 2}{x ^{2} - 5 x - 6}) = - \infty

= diverges

What is the limit as x approaches-1 of (x^2-2)/(x^2-5x-6) ?
The limit as x approaches-1 of (x^2-2)/(x^2-5x-6) is diverges