What is the limit as x approaches 1 of 1-sqrt(2-x) ?

The limit as x approaches 1 of 1-sqrt(2-x) is 0

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limit as x approaches 1 of 1-sqrt(2-x)

x \to 1 lim (1 - 2 - x)

0

Solution steps

x \to 1 lim (1 - 2 - x)

Plug in the value

x = 1

= 1 - 2 - 1

Simplify

= 0

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What is the limit as x approaches 1 of 1-sqrt(2-x) ?
The limit as x approaches 1 of 1-sqrt(2-x) is 0