What is the limit as x approaches 1 of (x-2)/(|x-1|) ?

The limit as x approaches 1 of (x-2)/(|x-1|) is -infinity

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limit as x approaches 1 of (x-2)/(|x-1|)

x \to 1 lim (\frac{x - 2}{∣ x - 1 ∣})

- \infty

Solution steps

x \to 1 lim (\frac{x - 2}{∣ x - 1 ∣})

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

then

x \to a lim f (x) = L

x \to 1 - lim (\frac{x - 2}{∣ x - 1 ∣}) = - \infty

x \to 1 + lim (\frac{x - 2}{∣ x - 1 ∣}) = - \infty

= - \infty

y = x^{4} + 3 x^{2} - x, (1, 3)

\frac{\partial}{\partial x} (2 y - 2 y x)

\frac{d}{d x} (3 ln (sin (x)))

\frac{d ^{2}}{d t ^{2}} (- 9.8 t^{2} + 2 t + 1)

y^{^{'}} = \frac{3 x ^{2} + 4 x - 4}{2 y - 4}, y (1) = 3

What is the limit as x approaches 1 of (x-2)/(|x-1|) ?
The limit as x approaches 1 of (x-2)/(|x-1|) is -infinity