What is the limit as x approaches-8-of (|x+8|)/(x+8) ?

The limit as x approaches-8-of (|x+8|)/(x+8) is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches-8-of (|x+8|)/(x+8)

x \to - 8 - lim (\frac{∣ x + 8 ∣}{x + 8})

- 1

Solution steps

x \to - 8 - lim (\frac{∣ x + 8 ∣}{x + 8})

x + 8

is negative when

x \to - 8 -

. Therefore

∣ x + 8 ∣ = - x - 8

= x \to - 8 - lim (\frac{- x - 8}{x + 8})

\frac{- x - 8}{x + 8} = - 1

= x \to - 8 - lim (- 1)

x \to a lim c = c

= - 1

What is the limit as x approaches-8-of (|x+8|)/(x+8) ?
The limit as x approaches-8-of (|x+8|)/(x+8) is -1