What is the limit as x approaches 6 of (6-|x|)/(6+x) ?

The limit as x approaches 6 of (6-|x|)/(6+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 6 of (6-|x|)/(6+x)

x \to 6 lim (\frac{6 - ∣ x ∣}{6 + x})

0

Solution steps

x \to 6 lim (\frac{6 - ∣ x ∣}{6 + x})

Plug in the value

x = 6

= \frac{6 - ∣ 6 ∣}{6 + 6}

Simplify

\frac{6 - ∣ 6 ∣}{6 + 6} : 0

= 0

What is the limit as x approaches 6 of (6-|x|)/(6+x) ?
The limit as x approaches 6 of (6-|x|)/(6+x) is 0