Calculus Examples

$lim_{x \to 3} \frac{4 n^{2} - 5 n}{3 n^{2} + 4}$

Step 1

Evaluate the limit of $\frac{4 n^{2} - 5 n}{3 n^{2} + 4}$ which is constant as $x$ approaches $3$ .

$\frac{4 n^{2} - 5 n}{3 n^{2} + 4}$

Step 2

Factor $n$ out of $4 n^{2} - 5 n$ .

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Step 2.1

Factor $n$ out of $4 n^{2}$ .

$\frac{n (4 n) - 5 n}{3 n^{2} + 4}$

Step 2.2

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

$\frac{n (4 n) + n \cdot - 5}{3 n^{2} + 4}$

Step 2.3

Factor $n$ out of $n (4 n) + n \cdot - 5$ .

$\frac{n (4 n - 5)}{3 n^{2} + 4}$