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

\frac{d}{d x} (9 cos (x) - cos (9 x))

\frac{\partial}{\partial x} (x^{2} + y^{2} + 3 x y)

x \to 0 lim (\frac{1}{1 + x})

\frac{d}{d x} (6 x e^{- k x})

- 5 e^{- x} + 30 e^{- 5 x}

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