What is the limit as x approaches 4 of xsqrt(25-x^2) ?

The limit as x approaches 4 of xsqrt(25-x^2) is 12

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limit as x approaches 4 of xsqrt(25-x^2)

x \to 4 lim (x 25 - x^{2})

12

Solution steps

x \to 4 lim (x 25 - x^{2})

Plug in the value

x = 4

= 4 25 - 4^{2}

Simplify

4 25 - 4^{2} : 12

= 12

y^{^{''}} + 4 y^{^{'}} + 12 y = 0

\int_{0}^{4} (13 - t) t d t

y = t^{2} + 5 cos (t)

\frac{d y}{d x} sin (x + y) = 0

\int \frac{sec ( x ) + cos ( x )}{4 cos ( x )} d x

What is the limit as x approaches 4 of xsqrt(25-x^2) ?
The limit as x approaches 4 of xsqrt(25-x^2) is 12