What is the limit as x approaches 0 of (|x-1|)/(x-1) ?

The limit as x approaches 0 of (|x-1|)/(x-1) is -1

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limit as x approaches 0 of (|x-1|)/(x-1)

x \to 0 lim (\frac{∣ x - 1 ∣}{x - 1})

- 1

Solution steps

x \to 0 lim (\frac{∣ x - 1 ∣}{x - 1})

Plug in the value

x = 0

= \frac{∣ 0 - 1 ∣}{0 - 1}

Simplify

\frac{∣ 0 - 1 ∣}{0 - 1} : - 1

= - 1

f (x) = sin^{2} (3 x + 2)

(e^{2 x} + e^{- x})^{^{'}}

y = - 3 - 5 x^{2}

t cos (3 t)

\int - x^{\frac{2}{3}} d x

What is the limit as x approaches 0 of (|x-1|)/(x-1) ?
The limit as x approaches 0 of (|x-1|)/(x-1) is -1