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

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

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

x \to 1 lim (\frac{x}{∣ x ∣ - 1})

diverges

Solution steps

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

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

= diverges

0.1 y^{^{'}} - 0.1 y = 0

f (x) = sin (x^{2})

\int_{1}^{2} \frac{x ^{6} + 4 x ^{8}}{x ^{5}} d x

\int x^{2} + 6 x + 2 d x

\frac{\partial}{\partial x} (x + 1 + 1)

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