**Mengoli posed the following series to be evaluated:**

Some great mathematicians, including Leibnitz, John Bernoulli and D’Alembert, failed to compute this infinite series. **Euler established himself as the best mathematician of Europe (in fact, one of the greatest mathematicians in history) by evaluating this series initially, by a not-so-rigorous method. Later on, he gave alternative and more rigorous ways of getting the same result. **

**Question:**

Can you show that the series converges and gets an upper limit? Then, try to evaluate the series.

*Solution will be posted soon.*

Cheers,

Nalin Pithwa.

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