What is the limit as x approaches 2 of xsqrt(13-x^2) ?

The limit as x approaches 2 of xsqrt(13-x^2) is 6

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limit as x approaches 2 of xsqrt(13-x^2)

x \to 2 lim (x 13 - x^{2})

6

Solution steps

x \to 2 lim (x 13 - x^{2})

Plug in the value

x = 2

= 2 13 - 2^{2}

Simplify

2 13 - 2^{2} : 6

= 6

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What is the limit as x approaches 2 of xsqrt(13-x^2) ?
The limit as x approaches 2 of xsqrt(13-x^2) is 6