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

The limit as x approaches 0 of x/(x^3) is infinity

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limit as x approaches 0 of x/(x^3)

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

\infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= \infty

x \to 0 lim (\frac{2 ^{x} - 1}{x ^{2}})

x \to 0 lim ((1 + 2 x) \frac{1}{x})

x \to 3 lim (\frac{2 x - 3}{x - 3})

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

x \to - \infty lim (x, 0)

What is the limit as x approaches 0 of x/(x^3) ?
The limit as x approaches 0 of x/(x^3) is infinity