Calculus Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Raise $n$ to the power of $1$ .

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

Step 2.3

Factor $n$ out of $n^{1}$ .

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

Step 2.4

Factor $n$ out of $n \cdot n + n \cdot 1$ .

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