Calculus Examples

$\sum_{i = 1}^{5} \frac{{(- 1)}^{i - 1}}{i!}$

Step 1

Expand the series for each value of $i$ .

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

Step 2

Simplify the expanded form.

$\frac{19}{30}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{30}$

Decimal Form:

$0.6\overline{3}$