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

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

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

x \to - 1 - lim (\frac{x}{∣ x - 1 ∣})

- \frac{1}{2}

Decimal

- 0.5

Solution steps

x \to - 1 - lim (\frac{x}{∣ x - 1 ∣})

Plug in the value

x = - 1

= \frac{- 1}{∣ - 1 - 1 ∣}

Simplify

\frac{- 1}{∣ - 1 - 1 ∣} : - \frac{1}{2}

= - \frac{1}{2}

\int 4 sin (x + \frac{π}{4}) cos (x - \frac{π}{4}) d x

\frac{\partial}{\partial x} (\frac{x ( v - b )}{r ( x , v )})

\int \frac{sin ( x ) \cdot cos ( x )}{x} d x

\int \frac{1}{- 196.2 - 4 v ^{2}} d v

x \to \infty lim (\frac{4}{x})

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