Calculus Examples

$lim_{x \to 5} 8 f (x) \cdot (g (x))$

Step 1

Move the term $8$ outside of the limit because it is constant with respect to $x$ .

$8 lim_{x \to 5} f (x) g (x)$

Step 2

Split the limit using the Product of Limits Rule on the limit as $x$ approaches $5$ .

$8 lim_{x \to 5} f (x) \cdot lim_{x \to 5} g (x)$

Step 3

Evaluate the limits by plugging in $5$ for all occurrences of $x$ .

Tap for more steps...

Step 3.1

Evaluate the limit of $f (x)$ by plugging in $5$ for $x$ .

$8 f (5) \cdot lim_{x \to 5} g (x)$

Step 3.2

Evaluate the limit of $g (x)$ by plugging in $5$ for $x$ .

$8 f (5) \cdot g (5)$

$8 f (5) g (5)$