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

\int_{4}^{9} 2 x d x

n = 1 \sum \infty \frac{n ^{2}}{2 n ^{2}}

y = 4 x^{2} sin (x) tan (x)

y^{^{'}} = \frac{1}{t y + 2 t + y + 2}

n \to a lim (\frac{5 n}{10 n + 4})

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