What is the limit as x approaches 4 of sqrt(25-x^2) ?

The limit as x approaches 4 of sqrt(25-x^2) is 3

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limit as x approaches 4 of sqrt(25-x^2)

x \to 4 lim (25 - x^{2})

3

Solution steps

x \to 4 lim (25 - x^{2})

Plug in the value

x = 4

= 25 - 4^{2}

Simplify

25 - 4^{2} : 3

= 3

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What is the limit as x approaches 4 of sqrt(25-x^2) ?
The limit as x approaches 4 of sqrt(25-x^2) is 3