Part 7/9:
An interesting application of series arises in the context of Bessel functions, used to model various physical systems, such as the vibrations of drumheads. These functions, defined as sums of infinite series, allow mathematicians to construct highly accurate representations of complex physical patterns. The precision with which Bessel functions - in conjunction with cosine functions - model the behavior of vibrating membranes showcases the effectiveness of sequences and series in capturing complex phenomena.