What is the limit as x approaches 0 of x^8-1/x ?

The limit as x approaches 0 of x^8-1/x is diverges

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limit as x approaches 0 of x^8-1/x

x \to 0 lim (x^{8} - \frac{1}{x})

diverges

Solution steps

x \to 0 lim (x^{8} - \frac{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 (x^{8} - \frac{1}{x}) = - \infty

x \to 0 - lim (x^{8} - \frac{1}{x}) = \infty

= diverges

\frac{d}{d x} (sin^{3} (2 x) - cos (2 x))

\int e^{- v} sin (w v) d v

\frac{d y}{d t} = - \frac{t}{y}, y (0) = 4

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

x^{4} + 6 x^{2} - x

What is the limit as x approaches 0 of x^8-1/x ?
The limit as x approaches 0 of x^8-1/x is diverges