Let
be a real-valued function that is periodic with
period
, that
is
.
One such function is
. Its
graph is obtained by repeating the portion of the graph in any
interval of length
,
as shown in Figure 12.1.
![[Graphics:Images/FourierSeriesComplexMod_gr_8.gif]](../Images/FourierSeriesComplexMod_gr_8.gif)
Figure
12.1. A function
with period
.
Exploration.
![[Graphics:../Images/FourierSeriesComplexMod_gr_12.gif]](../Images/FourierSeriesComplexMod_gr_12.gif)