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

Popular >

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

is negative when

x \to - 3

. Therefore

∣ x ∣ = - x

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

Simplify

= x \to - 3 lim (1)

x \to a lim c = c

= 1

y^{^{''}} + 17 y^{^{'}} + 70 y = 0

(- 5, - 2), (3, - 9)

\int_{0}^{2} (10 x - 5 x^{2}) d x

\int \frac{1}{10 - 0.8 x} d x

y^{^{''}} - 10 y^{^{'}} + 25 y = 4 x e^{5 x}

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