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

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

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

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

diverges

Solution steps

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

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}{x ^{2} - 1}) = \infty

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

= diverges

\int \frac{1}{u ^{2} + 1} d u

\frac{d y}{d x} = \frac{1}{x}

\int_{0}^{1} (e^{x^{2}}) d x

\frac{x}{y} \frac{d y}{d x} + ln (y) = x + 1

\int \frac{3}{4} x^{4} d x

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