What is the limit as x approaches 3+of (3-x)/(|x-3|) ?

The limit as x approaches 3+of (3-x)/(|x-3|) 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 3+of (3-x)/(|x-3|)

x \to 3 + lim (\frac{3 - x}{∣ x - 3 ∣})

- 1

Solution steps

x \to 3 + lim (\frac{3 - x}{∣ x - 3 ∣})

x - 3

is positive when

x \to 3 +

. Therefore

∣ x - 3 ∣ = x - 3

= x \to 3 + lim (\frac{3 - x}{x - 3})

\frac{3 - x}{x - 3} = - 1

= x \to 3 + lim (- 1)

x \to a lim c = c

= - 1

What is the limit as x approaches 3+of (3-x)/(|x-3|) ?
The limit as x approaches 3+of (3-x)/(|x-3|) is -1