What is the limit as x approaches-6 of (6-|x|)/(6+x) ?

The limit as x approaches-6 of (6-|x|)/(6+x) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches-6 of (6-|x|)/(6+x)

x \to - 6 lim (\frac{6 - ∣ x ∣}{6 + x})

1

Solution steps

x \to - 6 lim (\frac{6 - ∣ x ∣}{6 + x})

x

is negative when

x \to - 6

. Therefore

∣ x ∣ = - x

= x \to - 6 lim (\frac{6 - ( - x )}{6 + x})

Simplify

= x \to - 6 lim (1)

x \to a lim c = c

= 1

\int (sec (x) + tan (x))^{2} d x

\frac{d ^{2} y}{d x ^{2}} = 2 x - 3

x \to 0 lim (x^{4} sin (\frac{3}{x}))

\frac{d}{d x} ((2 x^{3} + 5)^{4})

\int (8 t^{4} + 5 t^{3} - 6 t^{2} + 7 t - 9) d t

What is the limit as x approaches-6 of (6-|x|)/(6+x) ?
The limit as x approaches-6 of (6-|x|)/(6+x) is 1