What is the limit as x approaches 0-of (6x)/(x^4) ?

The limit as x approaches 0-of (6x)/(x^4) is -infinity

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limit as x approaches 0-of (6x)/(x^4)

x \to 0 - lim (\frac{6 x}{x ^{4}})

- \infty

Solution steps

x \to 0 - lim (\frac{6 x}{x ^{4}})

Cancel the common factor:

x

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

For

x

approaching

0

from the left

, x < 0 \Rightarrow x^{3} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

What is the limit as x approaches 0-of (6x)/(x^4) ?
The limit as x approaches 0-of (6x)/(x^4) is -infinity