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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (3 - 3 cos (x))

\frac{d y}{d x} = (x - 4) e^{- 2 y}

y^{^{'}} = 6 x^{2} \cdot y

\int 4 e^{- 7 x} d x

f (x) = \frac{x ^{3} + 5}{x}

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