Calculus Examples

$lim_{x \to 5} \frac{v (5.1) + 2}{(5.1) - 5}$

Step 1

Evaluate the limit of $\frac{v (5.1) + 2}{(5.1) - 5}$ which is constant as $x$ approaches $5$ .

$\frac{v (5.1) + 2}{(5.1) - 5}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $5$ from $5.1$ .

$\frac{v (5.1) + 2}{0.1}$

Step 2.2

Multiply by $1$ .

$\frac{1 v (5.1) + 2}{0.1}$

Step 2.3

Rewrite $2$ as $1 (2)$ .

$\frac{1 v (5.1) + 1 (2)}{0.1}$

Step 2.4

Factor $1$ out of $1 v (5.1) + 1 (2)$ .

$\frac{1 (v (5.1) + 2)}{0.1}$

Step 2.5

Factor $0.1$ out of $0.1$ .

$\frac{1 (v (5.1) + 2)}{0.1 (1)}$

Step 2.6

Separate fractions.

$\frac{1}{0.1} \cdot \frac{v (5.1) + 2}{1}$

Step 2.7

Divide $1$ by $0.1$ .

$10 \frac{v (5.1) + 2}{1}$

Step 2.8

Divide $v (5.1) + 2$ by $1$ .

$10 (v (5.1) + 2)$

Step 2.9

Apply the distributive property.

$10 v (5.1) + 10 \cdot 2$

Step 2.10

Multiply $10$ by $2$ .

$10 v (5.1) + 20$