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

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

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

x \to 1 lim (\frac{∣ x - 8 ∣}{x - 8})

- 1

Solution steps

x \to 1 lim (\frac{∣ x - 8 ∣}{x - 8})

Plug in the value

x = 1

= \frac{∣ 1 - 8 ∣}{1 - 8}

Simplify

\frac{∣ 1 - 8 ∣}{1 - 8} : - 1

= - 1

\frac{d}{d x} (\frac{3 x}{1 - x})

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

\int e^{\frac{1}{x}} d x

\int \frac{x}{4 + x ^{2}} d x

(5 + 6 x)^{2}

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