What is the limit as x approaches-4-of |x+4|-2x ?

The limit as x approaches-4-of |x+4|-2x is 8

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limit as x approaches-4-of |x+4|-2x

x \to - 4 - lim (∣ x + 4 ∣ - 2 x)

8

Solution steps

x \to - 4 - lim (∣ x + 4 ∣ - 2 x)

Plug in the value

x = - 4

= ∣ - 4 + 4 ∣ - 2 (- 4)

Simplify

∣ - 4 + 4 ∣ - 2 (- 4) : 8

= 8

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What is the limit as x approaches-4-of |x+4|-2x ?
The limit as x approaches-4-of |x+4|-2x is 8