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{d}{d x} (cos (x) tan (x))

f (x) = \frac{x}{1 + x ^{2}}, (2, \frac{2}{5})

\frac{1}{6} y^{3} + \frac{1}{2 y}

n = 1 \sum \infty \frac{n}{4 n + 1}

\frac{\partial}{\partial y} (x^{3} - y^{3} + 6 x y)

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