Calculus Examples

$\frac{lim_{y \to 2} 3 - \sqrt{4 x + 1}}{x^{2} - 2 x}$

Step 1

Evaluate the limit of $3 - \sqrt{4 x + 1}$ which is constant as $y$ approaches $2$ .

$\frac{3 - \sqrt{4 x + 1}}{x^{2} - 2 x}$

Step 2

Factor $x$ out of $x^{2} - 2 x$ .

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Step 2.1

Factor $x$ out of $x^{2}$ .

$\frac{3 - \sqrt{4 x + 1}}{x \cdot x - 2 x}$

Step 2.2

Factor $x$ out of $- 2 x$ .

$\frac{3 - \sqrt{4 x + 1}}{x \cdot x + x \cdot - 2}$

Step 2.3

Factor $x$ out of $x \cdot x + x \cdot - 2$ .

$\frac{3 - \sqrt{4 x + 1}}{x (x - 2)}$