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

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

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

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

diverges

Solution steps

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

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

= diverges

f (x) = 6^{7 x^{2}}

\int - \frac{1}{x + 1} d x

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

\frac{d}{d x} (\frac{1}{5} (x y^{2} + 4 y)^{2})

f (x) = \frac{1}{2 x ^{3}}

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