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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

1

Solution steps

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

x - 5

is positive when

x \to 5 +

. Therefore

∣ x - 5 ∣ = x - 5

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

Simplify

= x \to 5 + lim (1)

x \to a lim c = c

= 1

y^{^{'}} = - \frac{y}{2000} 4

(- 4, 0), (0, - 1)

\int 3 (t + 1)^{\frac{1}{2}} d t

x \to 0.5 lim (3 x^{2} + 2 x - 3)

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