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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (4 x^{- \frac{1}{3}} + \frac{9}{x ^{\frac{5}{3}}})

\frac{d y}{d x}, x cos (2 x + 3 y) = y sin (x)

\int 2 t - t - \frac{9}{t ^{2}} d t

x \to 0 lim (x^{2} - 4)

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

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