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

The limit as x approaches 0 of x+x/(|x|) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of x+x/(|x|)

x \to 0 lim (x + \frac{x}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (x + \frac{x}{∣ x ∣})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (x + \frac{x}{∣ x ∣}) = 1

x \to 0 - lim (x + \frac{x}{∣ x ∣}) = - 1

= diverges

What is the limit as x approaches 0 of x+x/(|x|) ?
The limit as x approaches 0 of x+x/(|x|) is diverges