Calculus Examples

$\sum_{n = 1}^{\infty} \frac{3 n^{5}}{15 n^{4} + 5}$

Step 1

Factor $5$ out of $15 n^{4} + 5$ .

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Step 1.1

Factor $5$ out of $15 n^{4}$ .

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

Step 1.2

Factor $5$ out of $5$ .

$\frac{3 n^{5}}{5 (3 n^{4}) + 5 (1)}$

Step 1.3

Factor $5$ out of $5 (3 n^{4}) + 5 (1)$ .

$\frac{3 n^{5}}{5 (3 n^{4} + 1)}$

Step 2

Rewrite the summation.

$\sum_{n = 1}^{\infty} \frac{3 n^{5}}{5 (3 n^{4} + 1)}$