What is the limit as x approaches 2-of sqrt(2-x)-2 ?

The limit as x approaches 2-of sqrt(2-x)-2 is -2

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limit as x approaches 2-of sqrt(2-x)-2

x \to 2 - lim (2 - x - 2)

- 2

Solution steps

x \to 2 - lim (2 - x - 2)

Plug in the value

x = 2

= 2 - 2 - 2

Simplify

= - 2

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What is the limit as x approaches 2-of sqrt(2-x)-2 ?
The limit as x approaches 2-of sqrt(2-x)-2 is -2