What is the limit as x approaches 0 of (2-|x|)/(2+x) ?

The limit as x approaches 0 of (2-|x|)/(2+x) 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 0 of (2-|x|)/(2+x)

x \to 0 lim (\frac{2 - ∣ x ∣}{2 + x})

1

Solution steps

x \to 0 lim (\frac{2 - ∣ x ∣}{2 + x})

Plug in the value

x = 0

= \frac{2 - ∣ 0 ∣}{2 + 0}

Simplify

\frac{2 - ∣ 0 ∣}{2 + 0} : 1

= 1

n = 0 \sum \infty n sin (π \cdot n)

ln (7)

\frac{d}{d x} (sin (12 x))

\int_{2}^{8} t^{3} ln (2 t) d t

\frac{\partial}{\partial x} (3 x + 4 y)

What is the limit as x approaches 0 of (2-|x|)/(2+x) ?
The limit as x approaches 0 of (2-|x|)/(2+x) is 1