Calculus Examples

$lim_{x \to 5} \sqrt{u^{2} + 2 u} + 10$

Step 1

Evaluate the limit of $\sqrt{u^{2} + 2 u} + 10$ which is constant as $x$ approaches $5$ .

$\sqrt{u^{2} + 2 u} + 10$

Step 2

Factor $u$ out of $u^{2} + 2 u$ .

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Step 2.1

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

$\sqrt{u \cdot u + 2 u} + 10$

Step 2.2

Factor $u$ out of $2 u$ .

$\sqrt{u \cdot u + u \cdot 2} + 10$

Step 2.3

Factor $u$ out of $u \cdot u + u \cdot 2$ .

$\sqrt{u (u + 2)} + 10$