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

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

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

x \to - 5 lim (\frac{∣ x - 5 ∣}{x - 5})

- 1

Solution steps

x \to - 5 lim (\frac{∣ x - 5 ∣}{x - 5})

Plug in the value

x = - 5

= \frac{∣ - 5 - 5 ∣}{- 5 - 5}

Simplify

\frac{∣ - 5 - 5 ∣}{- 5 - 5} : - 1

= - 1

\int_{0}^{4} (2 v + 5) (3 v - 1) d v

\int \frac{x ^{2}}{6 x ^{2} - 49} d x

f (x) = x^{2} - 6, (- 4, 10)

\int (x^{- 3}) d x

\frac{d y}{d t} = t^{2} e^{- 4 t} - 4 y

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