Calculus Examples

$lim_{x \to 8} \frac{3 n^{3} - 5 n}{n^{3} - 2 n^{2} + 1}$

Step 1

Evaluate the limit of $\frac{3 n^{3} - 5 n}{n^{3} - 2 n^{2} + 1}$ which is constant as $x$ approaches $8$ .

$\frac{3 n^{3} - 5 n}{n^{3} - 2 n^{2} + 1}$

Step 2

Factor $n$ out of $3 n^{3} - 5 n$ .

Tap for more steps...

Step 2.1

Factor $n$ out of $3 n^{3}$ .

$\frac{n (3 n^{2}) - 5 n}{n^{3} - 2 n^{2} + 1}$

Step 2.2

Factor $n$ out of $- 5 n$ .

$\frac{n (3 n^{2}) + n \cdot - 5}{n^{3} - 2 n^{2} + 1}$

Step 2.3

Factor $n$ out of $n (3 n^{2}) + n \cdot - 5$ .

$\frac{n (3 n^{2} - 5)}{n^{3} - 2 n^{2} + 1}$