There are great indications that direct or general solutions for ∞=∞ will have a significant impact on mathematics, like the invention of “algebra,” “calculus,” and “e.”
In the video below, you will see a mistake made by many mathematicians. Also, you will see a simple proof for a new(*) indeterminate form that has an incredible connection to the Riemann hypothesis. Lastly, you will see a route to a new promising math tool to solve problems like the Riemann hypothesis that we cannot prove with the current math tool.
We know that 1+1+1…=∞=-1/2=𝜁(0) and 1+2+3…=∞=-1/12= 𝜁(-1) , and since 1+1+1…≠ 1+2+3…, 𝜁(0) ≠ 𝜁(-1), -1/2≠-1/12 in this case ∞≠∞. This shows that ∞ is not always equal ∞.
∞-∞ and ∞/∞ expressions are indeterminate forms, and due to the nondeterministic nature of ∞=∞ , it makes sense to consider it a new category of indeterminate form.