What is the limit as x approaches 0 of (x^3+1)/(x^5) ?

The limit as x approaches 0 of (x^3+1)/(x^5) is diverges

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limit as x approaches 0 of (x^3+1)/(x^5)

x \to 0 lim (\frac{x ^{3} + 1}{x ^{5}})

diverges

Solution steps

x \to 0 lim (\frac{x ^{3} + 1}{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 (\frac{x ^{3} + 1}{x ^{5}}) = \infty

x \to 0 - lim (\frac{x ^{3} + 1}{x ^{5}}) = - \infty

= diverges

cos (6 t)

\frac{d}{d x} (\frac{1}{( x ^{2} + 1 ) ^{\frac{3}{2}}})

f (x) = \frac{1 - 5 x}{x + 3}

\frac{d}{d x} (x^{\frac{8}{x}})

x \to π lim (ln (cos (x) - 8))

What is the limit as x approaches 0 of (x^3+1)/(x^5) ?
The limit as x approaches 0 of (x^3+1)/(x^5) is diverges