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

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

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

x \to 2 + lim (∣ x + 2 ∣ - 2)

2

Solution steps

x \to 2 + lim (∣ x + 2 ∣ - 2)

Plug in the value

x = 2

= ∣ 2 + 2 ∣ - 2

Simplify

∣ 2 + 2 ∣ - 2 : 2

= 2

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x \to - 2 lim (∣ ln ∣ x + 2 ∣ ∣)

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