Calculus Examples

$\sum_{n = 1}^{8} \frac{1}{n}$

Step 1

Expand the series for each value of $n$ .

$\frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{8}$

Step 2

Simplify the expanded form.

$\frac{761}{280}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{761}{280}$

Decimal Form:

$2.71785714 \dots$

Mixed Number Form:

$2 \frac{201}{280}$