What is the limit as x approaches-8 of (8-|x|)/(8+x) ?

The limit as x approaches-8 of (8-|x|)/(8+x) is 1

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limit as x approaches-8 of (8-|x|)/(8+x)

x \to - 8 lim (\frac{8 - ∣ x ∣}{8 + x})

1

Solution steps

x \to - 8 lim (\frac{8 - ∣ x ∣}{8 + x})

x

is negative when

x \to - 8

. Therefore

∣ x ∣ = - x

= x \to - 8 lim (\frac{8 - ( - x )}{8 + x})

Simplify

= x \to - 8 lim (1)

x \to a lim c = c

= 1

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\frac{d}{d x} (- 235)

What is the limit as x approaches-8 of (8-|x|)/(8+x) ?
The limit as x approaches-8 of (8-|x|)/(8+x) is 1