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

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

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

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

diverges

Solution steps

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

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}{1 - x ^{3}}) = - \infty

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

= diverges

x \to 4 lim (x^{2} + 3 x - 5)

x \to 2 lim ((x - 1)^{\frac{6}{( x - 2 )}})

y \to 0 lim (\frac{- 1}{∣ y ∣})

x \to \infty lim ((\frac{4 x ^{3} - 1}{3 x ^{2} + 2}) sin (\frac{1}{x}))

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

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