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

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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{\partial}{\partial y} (2 x + y cos (x y))

\int_{0}^{2} 17 d x

e^{\frac{z}{z - 3}}

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

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