What is the limit as x approaches-8-of (|x+8|)/(x+8) ?

The limit as x approaches-8-of (|x+8|)/(x+8) is -1

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limit as x approaches-8-of (|x+8|)/(x+8)

x \to - 8 - lim (\frac{∣ x + 8 ∣}{x + 8})

- 1

Solution steps

x \to - 8 - lim (\frac{∣ x + 8 ∣}{x + 8})

x + 8

is negative when

x \to - 8 -

. Therefore

∣ x + 8 ∣ = - x - 8

= x \to - 8 - lim (\frac{- x - 8}{x + 8})

\frac{- x - 8}{x + 8} = - 1

= x \to - 8 - lim (- 1)

x \to a lim c = c

= - 1

n = 0 \sum \infty \frac{x ^{n}}{n + 1}

f (x) = (3 x + 1) (5 x - 4)

\frac{d}{d x} ((45 - 0.12 x) x)

\int - 6 x^{2} + 10 d x

\frac{d r}{d θ} + r tan (θ) = sec (θ) tan (θ)

What is the limit as x approaches-8-of (|x+8|)/(x+8) ?
The limit as x approaches-8-of (|x+8|)/(x+8) is -1