What is the limit as x approaches 1 of (\sqrt[3]{x-1})/(1-sqrt(x)) ?

The limit as x approaches 1 of (\sqrt[3]{x-1})/(1-sqrt(x)) is -infinity

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limit as x approaches 1 of (\sqrt[3]{x-1})/(1-sqrt(x))

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

- \infty

Solution steps

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

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

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

= - \infty

x \to 0 lim (x^{\frac{x}{2}})

x \to \frac{π}{2} lim (2 sin (x))

x \to 0 + lim ((x - 5) e^{\frac{1}{x}})

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

x \to - 1 lim (2^{1 + l n ∣ x ∣})

What is the limit as x approaches 1 of (\sqrt[3]{x-1})/(1-sqrt(x)) ?
The limit as x approaches 1 of (\sqrt[3]{x-1})/(1-sqrt(x)) is -infinity