### On A Mathematical Contradiction to Rethink Associativity and Commutativity for Infinite Series and Infinite Products

**Md. Shafiqul Islam, Sumit Bhowmick**

**Abstract:**This paper deals with two contradictory values of π, focusing on the invalidity of associative and commutative laws for infinite series. The argument shows that operating with some infinite products leads to some dangerous contradictions such as the π value turns out to be 4 or 8/3. The study and the findings embedded with the article’s methodology points out that these classical operations like associativity and commutativity on infinite series or infinite products must be handled carefully.