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

\int \frac{x ^{3}}{1 + x ^{4}} d x

y^{^{'}} - y + x^{2} = 0

\int_{3}^{6} \frac{1}{x ^{2} - 1} d x

\int x^{\frac{2}{9}} d x

\frac{\partial}{\partial y} (ln (x + 8 y + 5 z))

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