In this answer two sequences are mentioned.
In particular, I would like to prove that
+∞∑n=11n2=π26
If I knew that the sequence converges to π26, I could use the ϵ-M criterion to prove the convergence to that value.
But how to prove that the above sequence converges to that value if I don't know the value itself? Is there a general way to proceed in such cases?
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