Calculus Examples

$lim_{y \to 0} \frac{3 \sqrt{h + x} - 3 \sqrt{x}}{h}$

Step 1

Evaluate the limit of $\frac{3 \sqrt{h + x} - 3 \sqrt{x}}{h}$ which is constant as $y$ approaches $0$ .

$\frac{3 \sqrt{h + x} - 3 \sqrt{x}}{h}$

Step 2

Factor $3$ out of $3 \sqrt{h + x} - 3 \sqrt{x}$ .

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Step 2.1

Factor $3$ out of $3 \sqrt{h + x}$ .

$\frac{3 (\sqrt{h + x}) - 3 \sqrt{x}}{h}$

Step 2.2

Factor $3$ out of $- 3 \sqrt{x}$ .

$\frac{3 (\sqrt{h + x}) + 3 (- \sqrt{x})}{h}$

Step 2.3

Factor $3$ out of $3 (\sqrt{h + x}) + 3 (- \sqrt{x})$ .

$\frac{3 (\sqrt{h + x} - \sqrt{x})}{h}$