What is the limit as x approaches-3 of (-6x-18)/(x^3+3x^2) ?

The limit as x approaches-3 of (-6x-18)/(x^3+3x^2) is -2/3

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limit as x approaches-3 of (-6x-18)/(x^3+3x^2)

x \to - 3 lim (\frac{- 6 x - 18}{x ^{3} + 3 x ^{2}})

- \frac{2}{3}

Decimal Notation

- 0.66666 \dots

Solution steps

x \to - 3 lim (\frac{- 6 x - 18}{x ^{3} + 3 x ^{2}})

Simplify

\frac{- 6 x - 18}{x ^{3} + 3 x ^{2}} : - \frac{6}{x ^{2}}

= x \to - 3 lim (- \frac{6}{x ^{2}})

Plug in the value

x = - 3

= - \frac{6}{( - 3 ) ^{2}}

Simplify

- \frac{6}{( - 3 ) ^{2}} : - \frac{2}{3}

= - \frac{2}{3}

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

\int_{0}^{π} sin^{2} (9 x) d x

\frac{d}{d x} (- 2 x \cdot e^{- x^{2}})

(- 5, - 2), (5, 12)

What is the limit as x approaches-3 of (-6x-18)/(x^3+3x^2) ?
The limit as x approaches-3 of (-6x-18)/(x^3+3x^2) is -2/3