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

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

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 (2x^2)/(|x|)

x \to 0 lim (\frac{2 x ^{2}}{∣ x ∣})

0

Solution steps

x \to 0 lim (\frac{2 x ^{2}}{∣ x ∣})

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

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{2 x ^{2}}{∣ x ∣}) = 0

x \to 0 + lim (\frac{2 x ^{2}}{∣ x ∣}) = 0

= 0

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