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 -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- 1

Solution steps

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

x - 1

is negative when

x \to 1 -

. Therefore

∣ x - 1 ∣ = - x + 1

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

\frac{x - 1}{- x + 1} = - 1

= x \to 1 - lim (- 1)

x \to a lim c = c

= - 1

\int - x sin (y) + 2 y d y

\int x (x + 9)^{10} d x

\int \frac{sec ( x )}{tan ( x )} d x

y^{23} d y = x d x

x \to 0 lim (\frac{3}{x ( x - 1 )})

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 -1