What is the limit as x approaches 0 of-|x-2|+3 ?

The limit as x approaches 0 of-|x-2|+3 is 1

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limit as x approaches 0 of-|x-2|+3

x \to 0 lim (- ∣ x - 2 ∣ + 3)

1

Solution steps

x \to 0 lim (- ∣ x - 2 ∣ + 3)

Plug in the value

x = 0

= - ∣ 0 - 2 ∣ + 3

Simplify

- ∣ 0 - 2 ∣ + 3 : 1

= 1

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What is the limit as x approaches 0 of-|x-2|+3 ?
The limit as x approaches 0 of-|x-2|+3 is 1