What is the limit as x approaches 1 of 2/(x^3-x) ?

The limit as x approaches 1 of 2/(x^3-x) is diverges

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limit as x approaches 1 of 2/(x^3-x)

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

diverges

Solution steps

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

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 ^{3} - x}) = \infty

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

= diverges

\frac{d}{d x} ((\frac{x + 5}{x ^{2} + 2})^{2})

\frac{d ^{2}}{d x ^{2}} (e^{\frac{6}{x}})

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

y = 0, y = 3 (x^{3} - x)

x \to 0 lim (cos (x))

What is the limit as x approaches 1 of 2/(x^3-x) ?
The limit as x approaches 1 of 2/(x^3-x) is diverges