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

The limit as x approaches 0 of (5x)/(x^3) is infinity

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

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

\infty

Solution steps

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

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

= \infty

\frac{d}{d x} (\frac{x - 1}{x ^{2} + 2 x + 6})

y^{^{'}} - 2 y = - 5 x^{2}

f (x) = 3 e^{- 4 x}, at x = 0

\frac{s}{s ^{2} - 2 s + 10}

\frac{d}{d x} (\frac{6 x ^{2} + 4 x + 2}{x})

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