Abstract:
The content of infinite sums is discussed extensively in calculus and real analysis course. However, the concept of infinite products, which is closely related to the of infinite sums, is not mentioned in any regular undergraduate analysis course. In this project, we study the definition of infinite products, examples of infinite products such as the infinite product of the sine function with the associated examples including infinite partial fraction of the cotangent function. Finally, we give some interesting applications of infinite products.