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

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

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

x \to 1 lim (\frac{1 - ∣ x ∣}{x - 1})

- 1

Solution steps

x \to 1 lim (\frac{1 - ∣ x ∣}{x - 1})

x

is positive when

x \to 1

. Therefore

∣ x ∣ = x

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

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

= x \to 1 lim (- 1)

x \to a lim c = c

= - 1

\frac{d}{d x} (20 x^{\frac{1}{2}} - \frac{1}{2} x^{20})

\int \frac{sin ^{7} ( 6 x )}{cos ^{4} ( 6 x )} d x

x \to 2.9 lim (x^{2} + 3 x)

y = \frac{2 t}{3 + t ^{2}}

x \to - 1 lim (x^{2} + 1)

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