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

x \to \infty lim (\frac{x ^{2} - 9}{x \cdot ( x ^{2} + 1 )})

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

x \to \infty lim (ln ((1 - \frac{3}{x})^{x}))

x \to 1 lim (3 x^{2} - 2 x)

x \to 0 lim (\frac{1 - c ( 5 x )}{1 - cos ( 3 x )})

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