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

y^{^{''}} - 8 y^{^{'}} + 7 y = 0

\int_{0}^{5} (140 x^{2} + 9800) d x

y = a cos (t) + t^{2} sin (t)

\frac{\partial}{\partial x} ((x + y) e^{x + y})

x \to 7 lim (4)

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