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

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

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 (-1)/(|x|)

x \to 0 lim (\frac{- 1}{∣ x ∣})

- \infty

Solution steps

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

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

= - \infty

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

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

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

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

x \to 3 lim (\frac{4}{( x - 3 ) ^{2}})

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