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})

Plug in the value

x = - 8

= \frac{∣ - 8 - 8 ∣}{- 8 - 8}

Simplify

\frac{∣ - 8 - 8 ∣}{- 8 - 8} : - 1

= - 1

x \to 0 lim (\frac{x ^{3}}{3})

\frac{d}{d x} (- 5 x^{4})

x \to 3 + lim (\frac{b x - 3 b}{x - 3})

\frac{\partial}{\partial x} (\frac{x}{x ^{2} - x + 1})

h \to 0 lim (tan (h))

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