What is the limit as x approaches 4 of 1/(|x-4|) ?

The limit as x approaches 4 of 1/(|x-4|) 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 4 of 1/(|x-4|)

x \to 4 lim (\frac{1}{∣ x - 4 ∣})

\infty

Solution steps

x \to 4 lim (\frac{1}{∣ x - 4 ∣})

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

then

x \to a lim f (x) = L

x \to 4 - lim (\frac{1}{∣ x - 4 ∣}) = \infty

x \to 4 + lim (\frac{1}{∣ x - 4 ∣}) = \infty

= \infty

x \to - 6 lim (h (x))

θ \to 0 lim (sin (\frac{1}{θ}))

x \to 0 lim (\frac{3 x + 4}{5 x ^{2}})

x \to 2 lim (\frac{x ^{2} + 12}{2 x})

x \to 0 lim ((1 - \frac{x}{3})^{\frac{2}{x}})

What is the limit as x approaches 4 of 1/(|x-4|) ?
The limit as x approaches 4 of 1/(|x-4|) is infinity