What is the limit as x approaches+0-of 6/(5x^{1/3)} ?

The limit as x approaches+0-of 6/(5x^{1/3)} is -infinity

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limit as x approaches+0-of 6/(5x^{1/3)}

x \to + 0 - lim (\frac{6}{5 x ^{\frac{1}{3}}})

- \infty

Solution steps

x \to 0 - lim (\frac{6}{5 x ^{\frac{1}{3}}})

For

x

approaching

0

from the left

, x < 0 \Rightarrow 5 x^{\frac{1}{3}} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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

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\int \frac{- 6 x ^{3} + 8 x ^{2} - 30 x + 10}{x ^{3} + 5 x} d x

\int x^{2} + 6 d x

What is the limit as x approaches+0-of 6/(5x^{1/3)} ?
The limit as x approaches+0-of 6/(5x^{1/3)} is -infinity