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

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

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 (2x)/(|x|)

x \to 0 - lim (\frac{2 x}{∣ x ∣})

- 2

Solution steps

x \to 0 - lim (\frac{2 x}{∣ x ∣})

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

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

\frac{2 x}{- x} = - 2

= x \to 0 - lim (- 2)

x \to a lim c = c

= - 2

t y^{^{''}} - y^{^{'}} = t^{2} + t, y (1) = 1, y^{^{'}} (1) = 5

(3, - 7), (10, - 4)

\int \frac{1}{x ^{2} - 4 x + 4} d x

x \to 9 - lim (\frac{6 x}{x - 9})

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