What is the limit as x approaches-7+of (x+7)/(|x+7|) ?

The limit as x approaches-7+of (x+7)/(|x+7|) 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-7+of (x+7)/(|x+7|)

x \to - 7 + lim (\frac{x + 7}{∣ x + 7 ∣})

1

Solution steps

x \to - 7 + lim (\frac{x + 7}{∣ x + 7 ∣})

x + 7

is positive when

x \to - 7 +

. Therefore

∣ x + 7 ∣ = x + 7

= x \to - 7 + lim (\frac{x + 7}{x + 7})

Simplify

= x \to - 7 + lim (1)

x \to a lim c = c

= 1

x \to 0 lim (x ln (x) - 1)

x \to 0 + lim (\frac{sin ( x )}{x})

x \to - 9 lim (x + 9)

x \to - 2 + lim (\frac{x - 2}{x ^{2} - 4})

x \to 3 lim (2 x + 7)

What is the limit as x approaches-7+of (x+7)/(|x+7|) ?
The limit as x approaches-7+of (x+7)/(|x+7|) is 1