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

k \to \infty lim (2^{k})

x \to 2 lim (∣ 2 x - 8 ∣)

x \to 0 + lim ((x)^{3 x})

x \to 4 lim (x (x - 4))

x \to 0 lim (x cos (3 x))

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