What is the limit as x approaches-7-of 1/(x^3+7x^2) ?

The limit as x approaches-7-of 1/(x^3+7x^2) is -infinity

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limit as x approaches-7-of 1/(x^3+7x^2)

x \to - 7 - lim (\frac{1}{x ^{3} + 7 x ^{2}})

- \infty

Solution steps

x \to - 7 - lim (\frac{1}{x ^{3} + 7 x ^{2}})

For

x

approaching

- 7

from the left

, x < - 7 \Rightarrow x^{3} + 7 x^{2} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to - \infty lim (9 x^{2})

n = 1 \sum \infty \frac{n}{n ^{2} + n + 1}

\frac{d}{d x} ((3 x - 1)^{4} \cdot (2 x + 1)^{- 3})

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

n = 0 \sum \infty n^{n} a^{n}

What is the limit as x approaches-7-of 1/(x^3+7x^2) ?
The limit as x approaches-7-of 1/(x^3+7x^2) is -infinity