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

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

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

- 1

Solution steps

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

Plug in the value

x = - 2

= \frac{- 2 - 2}{∣ - 2 - 2 ∣}

Simplify

\frac{- 2 - 2}{∣ - 2 - 2 ∣} : - 1

= - 1

x \to 0 lim (\frac{cos ( π x )}{x})

t e^{- 3 t}

\frac{d}{d x} ((x^{3} - 1)^{100})

y = x^{4}, x = y^{7}, 1

\int 8 + 2 x - x^{2} d x

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