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

\frac{d}{d x} ((\frac{x + 1}{x - 3})^{2})

3 x^{2} - 16 x - 12

\frac{\partial}{\partial x} (5^{x})

7 u + 10 u

\int (8^{x} - 8^{- x})^{2} d x

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