Calculus Examples

$\frac{lim_{x \to 8} 13}{17 + \frac{1}{x}}$

Step 1

Evaluate the limit of $13$ which is constant as $x$ approaches $8$ .

$\frac{13}{17 + \frac{1}{x}}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the denominator.

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Step 2.1.1

To write $17$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{13}{\frac{17 x}{x} + \frac{1}{x}}$

Step 2.1.2

Combine the numerators over the common denominator.

$\frac{13}{\frac{17 x + 1}{x}}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$13 \frac{x}{17 x + 1}$

Step 2.3

Combine $13$ and $\frac{x}{17 x + 1}$ .

$\frac{13 x}{17 x + 1}$