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

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

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

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

- 1

Solution steps

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

1 - x

is negative when

x \to 1 +

. Therefore

∣ 1 - x ∣ = - 1 + x

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

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

= x \to 1 + lim (- 1)

x \to a lim c = c

= - 1

x \to 3 lim (3 - 3 x)

x \to 2 lim (x^{3} + 7 x^{2} - 2 x + 4)

x \to 0 lim (3 (tan (x))^{x})

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

x \to - i lim (\frac{x ^{4} - 1}{x + i})

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