If you take the sigma, the negative 1 term and n factorial common on the left hand side and add; basically n(2n -1) + n is 2n*n. Of course you cannot do this on infinite sigma. But the result on LHS is 2nsquared.
And the result on RHS is nsquared.
There is one on Ramanujan too. 1+2+3+4+ ........ upto infinity is -1/12. If you don't believe this, see Youtube.
Strange ways of infinity. Infinity is closer than you think. Just rotate about yourself and you are talking of infinity. And take a scale (however long) you are talking of finite.
Analysis of Infinite by Euler in two parts must be a great book. But then it is very costly and is unaffordable in general standard.
Have a great day, dear blog readers !!
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