What is the limit as x approaches 2 of xsqrt(8-x^2) ?

The limit as x approaches 2 of xsqrt(8-x^2) is 4

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limit as x approaches 2 of xsqrt(8-x^2)

x \to 2 lim (x 8 - x^{2})

4

Solution steps

x \to 2 lim (x 8 - x^{2})

Plug in the value

x = 2

= 2 8 - 2^{2}

Simplify

2 8 - 2^{2} : 4

= 4

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What is the limit as x approaches 2 of xsqrt(8-x^2) ?
The limit as x approaches 2 of xsqrt(8-x^2) is 4