What is the limit as x approaches-4 of (5x)/(|x+4|) ?

The limit as x approaches-4 of (5x)/(|x+4|) is -infinity

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limit as x approaches-4 of (5x)/(|x+4|)

x \to - 4 lim (\frac{5 x}{∣ x + 4 ∣})

- \infty

Solution steps

x \to - 4 lim (\frac{5 x}{∣ x + 4 ∣})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to - 4 - lim (\frac{5 x}{∣ x + 4 ∣}) = - \infty

x \to - 4 + lim (\frac{5 x}{∣ x + 4 ∣}) = - \infty

= - \infty

x \to 0 lim ((- 4 ln (x))^{x})

x \to 8 - lim (2 x - 8)

x \to 7 - lim (\frac{x - 8}{x - 7})

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

x \to 2 lim (\frac{4}{3} x - \frac{1}{2})

What is the limit as x approaches-4 of (5x)/(|x+4|) ?
The limit as x approaches-4 of (5x)/(|x+4|) is -infinity