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})

x - 1

is negative when

x \to 1 -

. Therefore

∣ x - 1 ∣ = - x + 1

= x \to 1 - lim (\frac{- x + 1}{x - 1})

\frac{- x + 1}{x - 1} = - 1

= x \to 1 - lim (- 1)

x \to a lim c = c

= - 1

\frac{d}{d x} (3 - \frac{10}{3 x ^{\frac{1}{6}}})

n = 1 \sum \infty (1 - \frac{1}{n})^{2}

\frac{1}{s ^{2} - 3}

\int \frac{2 x}{( 1 - x ^{2} )} d x

y^{^{'}} = \frac{y}{x} + x e^{x}

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