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

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

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

x \to 1 lim (\frac{∣ x - 1 ∣}{x - 1})

diverges

Solution steps

x \to 1 lim (\frac{∣ x - 1 ∣}{x - 1})

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

then the limit does not exist

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

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

= diverges

\frac{d y}{d x} = 136 x - x y

\frac{d y}{d x} = \frac{2 x}{1 + 2 y}

x^{^{''}} - 3 x^{^{'}} - 10 x = 20 t

\int_{1}^{\infty} x^{- \frac{1}{9}} d x

\frac{2}{s ( s + 2 ) + 2}

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