This paper documents an unconventional journey into the behavior of divergent series. Instead of viewing infinity () as a distant, unreachable limit, we treat it as a tangible, discrete variable within standard algebraic progression formulas. By comparing these common equations with Srinivasa Ramanujan’s well-known regularized results for linear and cubic series, we uncover a striking anomaly: a recurring correction factor of -0. 0290103234. This constant suggests a hidden geometric pattern within divergent limits. We ultimately provide a proof by contradiction, showing that treating as a discrete counting number leads to negative irrational roots, which violates the principle that sequence indexes must belong to the Natural Numbers (N). This result was derived by myself during Class 8. I have it both on. tex and. pdf format for easy access.
Magizhan Revathy Santhakumar (Tue,) studied this question.