What is the limit as x approaches 0 of (x-2)/(|x-2|) ?

The limit as x approaches 0 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 0 of (x-2)/(|x-2|)

x \to 0 lim (\frac{x - 2}{∣ x - 2 ∣})

- 1

Solution steps

x \to 0 lim (\frac{x - 2}{∣ x - 2 ∣})

Plug in the value

x = 0

= \frac{0 - 2}{∣ 0 - 2 ∣}

Simplify

\frac{0 - 2}{∣ 0 - 2 ∣} : - 1

= - 1

\int_{0}^{4} y - y + 2 d y

\frac{d}{d x} (4 x (x^{2} - 4))

\int \frac{1}{2 x ^{2} - x} d x

f (x) = 5 x - 7

\frac{d}{d x} (x^{3} 2 x - 1)

What is the limit as x approaches 0 of (x-2)/(|x-2|) ?
The limit as x approaches 0 of (x-2)/(|x-2|) is -1