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

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

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

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

diverges

Solution steps

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

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

= diverges

x^{3} - 7 x

\int sin (3 x y) d x

f (x) = x + x

\int \frac{- 3}{( x ^{2} + 3 ) ^{\frac{3}{2}}} d x

y = - x^{2} - x, y = 3 x

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