What is the limit as x approaches 0 of ((x-1)^3-1)/x ?

The limit as x approaches 0 of ((x-1)^3-1)/x is diverges

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limit as x approaches 0 of ((x-1)^3-1)/x

x \to 0 lim (\frac{( x - 1 ) ^{3} - 1}{x})

diverges

Solution steps

x \to 0 lim (\frac{( x - 1 ) ^{3} - 1}{x})

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

then the limit does not exist

x \to 0 + lim (\frac{( x - 1 ) ^{3} - 1}{x}) = - \infty

x \to 0 - lim (\frac{( x - 1 ) ^{3} - 1}{x}) = \infty

= diverges

\int (\frac{2}{x} - \frac{1}{x ^{2}}) d x

\int \frac{1}{x ^{2} + 10 x - 6} d x

\int tan^{4} (5 x) d x

x^{4} + 2 e^{x}

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

What is the limit as x approaches 0 of ((x-1)^3-1)/x ?
The limit as x approaches 0 of ((x-1)^3-1)/x is diverges