Power series can be used to define functions and they allow us to write functions that cannot be expressed any other way than as “infinite polynomials.” An infinite series can also be truncated, resul...Power series can be used to define functions and they allow us to write functions that cannot be expressed any other way than as “infinite polynomials.” An infinite series can also be truncated, resulting in a finite polynomial that we can use to approximate functional values. Representing functions using power series allows us to solve mathematical problems that cannot be solved with other techniques.
