In the Feb 23 2018 blog problem, we posed the following question:

Sum the following infinite series:

.

**Solution:**

The sum can be written as:

, where .

Thus, . This is the answer.

*If you think deeper, this needs some discussion about rearrangements of infinite series also. For the time, we consider it outside our scope.*

*Cheers,*

Nalin Pithwa.

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