Calculus Examples

$\frac{lim_{x \to 4} 2 x}{x - 4} - \frac{8}{x - 4}$

Step 1

Move the term $2$ outside of the limit because it is constant with respect to $x$ .

$\frac{2 lim_{x \to 4} x}{x - 4} - \frac{8}{x - 4}$

Step 2

Evaluate the limit of $x$ by plugging in $4$ for $x$ .

$\frac{2 \cdot 4}{x - 4} - \frac{8}{x - 4}$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 - 8}{x - 4}$

Step 3.2

Multiply $2$ by $4$ .

$\frac{8 - 8}{x - 4}$

Step 3.3

Subtract $8$ from $8$ .

$\frac{0}{x - 4}$

Step 3.4

Divide $0$ by $x - 4$ .

$0$