What is the limit as x approaches 1 of sqrt(4-x^2) ?

The limit as x approaches 1 of sqrt(4-x^2) is square root of 3

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limit as x approaches 1 of sqrt(4-x^2)

x \to 1 lim (4 - x^{2})

3

Decimal

1.73205 \dots

Solution steps

x \to 1 lim (4 - x^{2})

Plug in the value

x = 1

= 4 - 1^{2}

Simplify

= 3

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What is the limit as x approaches 1 of sqrt(4-x^2) ?
The limit as x approaches 1 of sqrt(4-x^2) is square root of 3