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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{\partial}{\partial x} (4 y^{2} x^{3})

\int_{0}^{1} (x + 1) (x^{2} + 2 x)^{5} d x

\int \frac{- 1800 x}{25 - x ^{2}} d x

t^{2} cos (3 t)

x \to 13 lim (x^{4} - 10 x^{2} - 20)

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