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 diverges

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

x \to 1 lim (\frac{∣ 1 - x ∣}{1 - x})

diverges

Solution steps

x \to 1 lim (\frac{∣ 1 - x ∣}{1 - x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

y^{^{''}} + y = 7 sin (x)

\frac{d}{d x} (ln (x^{8} y))

\int_{0}^{1} x e^{5 x} d x

y^{^{''}} - 4 y^{^{'}} + 4 y = 4 - 8 t - (18 t e^{2 t} + 2 e^{2 t})

\int 2 \cdot x \cdot ln (x) 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 diverges