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

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

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

x \to 2 - lim (∣ x ∣ - x^{2})

- 2

Solution steps

x \to 2 - lim (∣ x ∣ - x^{2})

Plug in the value

x = 2

= ∣ 2 ∣ - 2^{2}

Simplify

∣ 2 ∣ - 2^{2} : - 2

= - 2

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