What is the limit as x approaches 4 of (-4x^2+16x)/(x^3-3x^2-4x) ?

The limit as x approaches 4 of (-4x^2+16x)/(x^3-3x^2-4x) is -4/5

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limit as x approaches 4 of (-4x^2+16x)/(x^3-3x^2-4x)

x \to 4 lim (\frac{- 4 x ^{2} + 16 x}{x ^{3} - 3 x ^{2} - 4 x})

- \frac{4}{5}

Decimal Notation

- 0.8

Solution steps

x \to 4 lim (\frac{- 4 x ^{2} + 16 x}{x ^{3} - 3 x ^{2} - 4 x})

Simplify

\frac{- 4 x ^{2} + 16 x}{x ^{3} - 3 x ^{2} - 4 x} : - \frac{4}{x + 1}

= x \to 4 lim (- \frac{4}{x + 1})

Plug in the value

x = 4

= - \frac{4}{4 + 1}

Simplify

= - \frac{4}{5}

n \to \infty lim ((- 2)^{n})

x \to \infty + lim (sin (x))

x \to 2 - lim (\frac{2 - x}{∣ 2 - x ∣})

x \to - 2 - lim (x^{2} - 4 x + 6)

x \to - π lim (sin (- \frac{x}{2}))

What is the limit as x approaches 4 of (-4x^2+16x)/(x^3-3x^2-4x) ?
The limit as x approaches 4 of (-4x^2+16x)/(x^3-3x^2-4x) is -4/5