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

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

x \to - 0 lim (\frac{x}{∣ x ∣})

diverges

Solution steps

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

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

= diverges

x \to \infty lim (\frac{x}{4} + 6)

x \to 0 lim (x^{2} sin^{2} (\frac{1}{x}))

x \to 2 lim (\frac{x + 1}{x ^{2} - 1})

x \to 0 + lim (x ln (x) - 1)

x \to \infty lim (- 17 x^{2})

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