What is the limit as x approaches-2 of (-5x-10)/(x^3+2x^2) ?

The limit as x approaches-2 of (-5x-10)/(x^3+2x^2) is -5/4

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limit as x approaches-2 of (-5x-10)/(x^3+2x^2)

x \to - 2 lim (\frac{- 5 x - 10}{x ^{3} + 2 x ^{2}})

- \frac{5}{4}

Decimal

- 1.25

Solution steps

x \to - 2 lim (\frac{- 5 x - 10}{x ^{3} + 2 x ^{2}})

Simplify

\frac{- 5 x - 10}{x ^{3} + 2 x ^{2}} : - \frac{5}{x ^{2}}

= x \to - 2 lim (- \frac{5}{x ^{2}})

Plug in the value

x = - 2

= - \frac{5}{( - 2 ) ^{2}}

Simplify

- \frac{5}{( - 2 ) ^{2}} : - \frac{5}{4}

= - \frac{5}{4}

\frac{6 x}{x ^{2} + 2}

\frac{d y}{d x} = \frac{1}{x 16 x ^{2} - 1}

f (x) = (x^{2} - 4) (x + 1)

4 x, x^{2} - 12

t^{2} y^{^{''}} + 7 t y^{^{'}} + 5 y = 0

What is the limit as x approaches-2 of (-5x-10)/(x^3+2x^2) ?
The limit as x approaches-2 of (-5x-10)/(x^3+2x^2) is -5/4