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 0

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

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

0

Solution steps

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

Plug in the value

x = - 1

= \frac{∣ - 1 + 1 ∣}{- 1 - 1}

Simplify

\frac{∣ - 1 + 1 ∣}{- 1 - 1} : 0

= 0

\frac{d y}{d x} = \frac{( 3 y + 10507 )}{x - 12}, y (0) = 47

y = arcsec (x)

t \frac{d y}{d t} + 2 y = t^{- 3}

\int_{0}^{π} e^{x} sin (x) d x

x \to + 0 lim (\frac{sin ( x )}{4 x})

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 0