Calculus Examples

$\sum_{k = 0}^{4} \frac{{(- 1)}^{k}}{k!}$

Step 1

Expand the series for each value of $k$ .

$\frac{{(- 1)}^{0}}{0!} + \frac{{(- 1)}^{1}}{1!} + \frac{{(- 1)}^{2}}{2!} + \dots + \frac{{(- 1)}^{4}}{4!}$

Step 2

Simplify the expanded form.

$\frac{3}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$