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

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

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|)/(1-x)

x \to 1 lim (\frac{∣ x - 1 ∣}{1 - x})

diverges

Solution steps

x \to 1 lim (\frac{∣ x - 1 ∣}{1 - x})

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 - 1 ∣}{1 - x}) = - 1

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

= diverges

\frac{x ^{2} + 4 x + 3}{x}

\int \frac{1}{36 e ^{- 9 x} + e ^{9 x}} d x

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

f (x) = \frac{2}{5 x + 3}, at x = - 1

\int x^{2} - 5 d x

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