Calculus Examples

$\frac{lim_{r \to 9} \sqrt{r}}{{(r - 9)}^{4}}$

Step 1

Move the limit under the radical sign.

$\frac{\sqrt{lim_{r \to 9} r}}{{(r - 9)}^{4}}$

Step 2

Evaluate the limit of $r$ by plugging in $9$ for $r$ .

$\frac{\sqrt{9}}{{(r - 9)}^{4}}$

Step 3

Simplify the numerator.

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Step 3.1

Rewrite $9$ as $3^{2}$ .

$\frac{\sqrt{3^{2}}}{{(r - 9)}^{4}}$

Step 3.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{3}{{(r - 9)}^{4}}$