What is the limit as x approaches 5 of xsqrt(41-x^2) ?

The limit as x approaches 5 of xsqrt(41-x^2) is 20

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limit as x approaches 5 of xsqrt(41-x^2)

x \to 5 lim (x 41 - x^{2})

20

Solution steps

x \to 5 lim (x 41 - x^{2})

Plug in the value

x = 5

= 5 41 - 5^{2}

Simplify

5 41 - 5^{2} : 20

= 20

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What is the limit as x approaches 5 of xsqrt(41-x^2) ?
The limit as x approaches 5 of xsqrt(41-x^2) is 20