What is the limit as x approaches-7-of 1/(x^2(x+7)) ?

The limit as x approaches-7-of 1/(x^2(x+7)) is -infinity

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limit as x approaches-7-of 1/(x^2(x+7))

x \to - 7 - lim (\frac{1}{x ^{2} ( x + 7 )})

- \infty

Solution steps

x \to - 7 - lim (\frac{1}{x ^{2} ( x + 7 )})

For

x

approaching

- 7

from the left

, x < - 7 \Rightarrow x^{2} (x + 7) < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{\partial}{\partial x} (\frac{x}{( x - 1 ) ^{2} + y ^{2}})

\int e^{\frac{1}{2}}

d er i v a t i v e cos^{2} (x) - sin^{2} (x)

y^{^{'}} + \frac{3 y}{x} = \frac{2}{x}

\int_{0}^{π} 15 sin^{2} (2 x) d x

What is the limit as x approaches-7-of 1/(x^2(x+7)) ?
The limit as x approaches-7-of 1/(x^2(x+7)) is -infinity