What is the limit as x approaches 0-of 8/(5x^{1/5)} ?

The limit as x approaches 0-of 8/(5x^{1/5)} is -infinity

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limit as x approaches 0-of 8/(5x^{1/5)}

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{5}}})

- \infty

Solution steps

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{5}}})

For

x

approaching

0

from the left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int \frac{x ^{2}}{x - 5} d x

\frac{d y}{d x} = 0.2 \cdot y + 200

(x^{3} + y^{3}) d x - x y^{2} d y = 0

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

x - 7

What is the limit as x approaches 0-of 8/(5x^{1/5)} ?
The limit as x approaches 0-of 8/(5x^{1/5)} is -infinity