What is the limit as x approaches 12 of sqrt(25-x^2) ?

The limit as x approaches 12 of sqrt(25-x^2) is sqrt(119)i

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limit as x approaches 12 of sqrt(25-x^2)

x \to 12 lim (25 - x^{2})

119 i

Solution steps

x \to 12 lim (25 - x^{2})

Plug in the value

x = 12

= 25 - 1 2^{2}

Simplify

25 - 1 2^{2} : 119 i

= 119 i

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What is the limit as x approaches 12 of sqrt(25-x^2) ?
The limit as x approaches 12 of sqrt(25-x^2) is sqrt(119)i