Calculus Examples

$lim_{x \to 8} \frac{4}{x^{r}}$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

Move the term $4$ outside of the limit because it is constant with respect to $x$ .

$4 lim_{x \to 8} \frac{1}{x^{r}}$

Step 1.2

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $8$ .

$4 \frac{lim_{x \to 8} 1}{lim_{x \to 8} x^{r}}$

Step 1.3

Evaluate the limit of $1$ which is constant as $x$ approaches $8$ .

$4 \frac{1}{lim_{x \to 8} x^{r}}$

Step 1.4

Move the exponent $r$ from $x^{r}$ outside the limit using the Limits Power Rule.

$4 \frac{1}{{(lim_{x \to 8} x)}^{r}}$

Step 2

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$4 \frac{1}{8^{r}}$

Step 3

Combine $4$ and $\frac{1}{8^{r}}$ .

$\frac{4}{8^{r}}$