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

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

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

x \to - 1 lim (\frac{∣ x - 1 ∣}{x - 1})

- 1

Solution steps

x \to - 1 lim (\frac{∣ x - 1 ∣}{x - 1})

Plug in the value

x = - 1

= \frac{∣ - 1 - 1 ∣}{- 1 - 1}

Simplify

\frac{∣ - 1 - 1 ∣}{- 1 - 1} : - 1

= - 1

n = 1 \sum \infty \frac{4}{n} - \frac{4}{n + 1}

\int x^{\frac{1}{12}} d x

\frac{\partial}{\partial x} (\frac{2 x}{x ^{2} - y ^{2}})

\int_{4}^{7} \frac{1}{x - 4} d x

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

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