What is the limit as x approaches 0 of 2/(x^3-x) ?

The limit as x approaches 0 of 2/(x^3-x) is diverges

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limit as x approaches 0 of 2/(x^3-x)

x \to 0 lim (\frac{2}{x ^{3} - x})

diverges

Solution steps

x \to 0 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 0 + lim (\frac{2}{x ^{3} - x}) = - \infty

x \to 0 - lim (\frac{2}{x ^{3} - x}) = \infty

= diverges

y = 2 x^{3} - 13 x, y = x^{2} + 6

x \to 1 - lim (x)

\frac{\partial}{\partial y} ((x + y) \cdot e^{x + 2 y})

\frac{2 x ^{2} - 3 x + 1}{x}

p

What is the limit as x approaches 0 of 2/(x^3-x) ?
The limit as x approaches 0 of 2/(x^3-x) is diverges