What is the limit as x approaches 3 of (x-5)/(|x-5|) ?

The limit as x approaches 3 of (x-5)/(|x-5|) is -1

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limit as x approaches 3 of (x-5)/(|x-5|)

x \to 3 lim (\frac{x - 5}{∣ x - 5 ∣})

- 1

Solution steps

x \to 3 lim (\frac{x - 5}{∣ x - 5 ∣})

Plug in the value

x = 3

= \frac{3 - 5}{∣ 3 - 5 ∣}

Simplify

\frac{3 - 5}{∣ 3 - 5 ∣} : - 1

= - 1

(sinh (x))^{^{'}}

n = 1 \sum \infty e^{- n}

\int 6 sin (3 x) ln (sin (3 x)) d x

\frac{d x}{d t} = 2 x + t + 1

What is the limit as x approaches 3 of (x-5)/(|x-5|) ?
The limit as x approaches 3 of (x-5)/(|x-5|) is -1