Calculating Infinity
To provide a brief of what is coming next, well I have only tried to find the values of Infinity from the Ramanujan's Infinite Sum.
So let's take Infinite Sum
S= 1+2+3+4+5+6+7+8+9.........
And as per the proofs provided by Mr. Srinivasan Ramanujan, we know that the sum of above given series=-1/12
S= 1+2+3+4+5+6+7+8+9.........
= -1/12
Now we all are aware about the sum of n terms in an Arithmetic Progression. So I'd equate the formula of sum of n terms in an AP to -1/12 in order to get the value of n which we know is infinite.
S=(n/2)(2a+(n-1)d)
= -1/12
Putting a=1, d=1
S= (n(n+1))/2
= -1/12
Upon solving this we'd get a quadratic equation and further simplifying that, we get 2 values of n
n= (-3+√3)/6 = -0.211324865405
n= (-3-√3)/6 = -0.788675134595
Okay a simple argument here, if Ramanujan's infinite sum is considered to be true, then we just calculated out the values of Infinity, not only 1 but 2 values. So here I give you the values of Infinity.
Well I am am getting a very strong intuitions that this Idea might already have been tried because it is way too basic and maybe there are a number of implications to it. But if not and there isn't error in the above Math, we can see we have got 2 values of Infinity, so there might be arguments that how can 2 values of Infinity exists, in that case, my current knowledge would say that maybe Ramanujan's infinite Sum has an error and can be considered as wrong. For the firm believers of the Ramanujan's Infinite Sum,tbh, as of now I myself is unaware of what and how just happened. Even I have a lot of questions to this and I invite the readers if they have any explanation to that. I'd be happy to become aware of those on my email here. You can also share your criticism to this idea at the same mail and comment section as well.
Unsolved Questions
1) How can the values be infinity be negative ?
2) Can there technically be 2 values of Infinity (both negative) ?
3) If above implications are not solved and considering negative and dual values of Infinity,Is Ramanujan's Infinite Sum really true ?
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