What is the limit as x approaches 4 of xsqrt(32-x^2) ?

The limit as x approaches 4 of xsqrt(32-x^2) is 16

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limit as x approaches 4 of xsqrt(32-x^2)

x \to 4 lim (x 32 - x^{2})

16

Solution steps

x \to 4 lim (x 32 - x^{2})

Plug in the value

x = 4

= 4 32 - 4^{2}

Simplify

4 32 - 4^{2} : 16

= 16

\frac{\partial}{\partial x} (\frac{1}{x ^{2} y ^{2}})

\int t 2^{t^{2}} d t

\frac{d y}{d t} + y = e^{- t}

\frac{\partial}{\partial x} (\frac{1}{( 1 - x )})

\int \frac{x ^{2} + 9 x + 1}{( x ^{2} + 1 ) ^{2}} d x

What is the limit as x approaches 4 of xsqrt(32-x^2) ?
The limit as x approaches 4 of xsqrt(32-x^2) is 16