What is the limit as x approaches-5 of (x+5)/(5-|x|) ?

The limit as x approaches-5 of (x+5)/(5-|x|) 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-5 of (x+5)/(5-|x|)

x \to - 5 lim (\frac{x + 5}{5 - ∣ x ∣})

1

Solution steps

x \to - 5 lim (\frac{x + 5}{5 - ∣ x ∣})

x

is negative when

x \to - 5

. Therefore

∣ x ∣ = - x

= x \to - 5 lim (\frac{x + 5}{5 - ( - x )})

Simplify

= x \to - 5 lim (1)

x \to a lim c = c

= 1

What is the limit as x approaches-5 of (x+5)/(5-|x|) ?
The limit as x approaches-5 of (x+5)/(5-|x|) is 1