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

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

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 (|x|)/(-2x)

x \to 0 - lim (\frac{∣ x ∣}{- 2 x})

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 0 - lim (\frac{∣ x ∣}{- 2 x})

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

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

\frac{- x}{- 2 x} = \frac{1}{2}

= x \to 0 - lim (\frac{1}{2})

x \to a lim c = c

= \frac{1}{2}

x \to 0 lim (ln (1 - x^{2}))

x \to 1 lim (\frac{x ^{\frac{1}{4}} - 1}{x ^{\frac{1}{3}} - 1})

x \to 1 lim ((2 - x)^{7 t a n (\frac{π}{2} x)})

x \to 0 + lim (\frac{2 x - 1}{x e ^{x}})

x \to \infty lim (x^{11})

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