What is the limit as x approaches 0 of-4x^{-3} ?

The limit as x approaches 0 of-4x^{-3} is diverges

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limit as x approaches 0 of-4x^{-3}

x \to 0 lim (- 4 x^{- 3})

diverges

Solution steps

x \to 0 lim (- 4 x^{- 3})

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

then the limit does not exist

x \to 0 + lim (- 4 x^{- 3}) = - \infty

x \to 0 - lim (- 4 x^{- 3}) = \infty

= diverges

\frac{d}{d x} (arctan (\frac{a ^{2} - x ^{3}}{b ^{2}}))

\int_{1}^{\infty} \frac{x}{x ^{2} + 1} d x

\frac{\partial}{\partial y} (x y^{2} e^{x^{2}})

x \to - 1 - lim (2 x^{2} - 4 x + 8)

\frac{\partial}{\partial x} (6 x y + 5 yz + x z - 48)

What is the limit as x approaches 0 of-4x^{-3} ?
The limit as x approaches 0 of-4x^{-3} is diverges