What is the limit as x approaches 0 of x^{-5} ?

The limit as x approaches 0 of x^{-5} is diverges

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limit as x approaches 0 of x^{-5}

x \to 0 lim (x^{- 5})

diverges

Solution steps

x \to 0 lim (x^{- 5})

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

then the limit does not exist

x \to 0 + lim (x^{- 5}) = \infty

x \to 0 - lim (x^{- 5}) = - \infty

= diverges

\frac{1}{2 x} - \frac{5}{2 x ^{\frac{3}{2}}}

f (x) = \frac{x}{x + \frac{a}{x}}

\int e^{x} + sin (x) d x

y = \frac{2 x ^{2} + 2 x + 4}{x}

\int \frac{10}{x ^{3}} d x

What is the limit as x approaches 0 of x^{-5} ?
The limit as x approaches 0 of x^{-5} is diverges