What is the limit as x approaches 10 of sqrt(25-x^2) ?

The limit as x approaches 10 of sqrt(25-x^2) is 5sqrt(3)i

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limit as x approaches 10 of sqrt(25-x^2)

x \to 10 lim (25 - x^{2})

53 i

Solution steps

x \to 10 lim (25 - x^{2})

Plug in the value

x = 10

= 25 - 1 0^{2}

Simplify

25 - 1 0^{2} : 53 i

= 53 i

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What is the limit as x approaches 10 of sqrt(25-x^2) ?
The limit as x approaches 10 of sqrt(25-x^2) is 5sqrt(3)i