Calculus Examples

$lim_{x \to 8} \frac{1}{2} + (0.29) (0.78)$

Step 1

Evaluate the limit of $\frac{1}{2} + (0.29) (0.78)$ which is constant as $x$ approaches $8$ .

$\frac{1}{2} + (0.29) (0.78)$

Step 2

Simplify the answer.

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Step 2.1

Multiply $0.29$ by $0.78$ .

$\frac{1}{2} + 0.2262$

Step 2.2

To write $0.2262$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + 0.2262 \cdot \frac{2}{2}$

Step 2.3

Combine $0.2262$ and $\frac{2}{2}$ .

$\frac{1}{2} + \frac{0.2262 \cdot 2}{2}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{1 + 0.2262 \cdot 2}{2}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $0.2262$ by $2$ .

$\frac{1 + 0.4524}{2}$

Step 2.5.2

Add $1$ and $0.4524$ .

$\frac{1.4524}{2}$

Step 2.6

Divide $1.4524$ by $2$ .

$0.7262$