How can we handle sums of the type:$$\sum_{n=0}^{\infty}\frac{1}{2^{2^n}}$$ It is different from geometric series. Is there any general approach to deal such sums?
How to find $\sum_{n=0}^{\infty}\frac{1}{2^{2^n}}$?
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sequences-and-series
number-theory
analysis
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0See also: [Sum of Infinite Series $1 + 1/2 + 1/4 + 1/16 + \cdots$](https://math.stackexchange.com/q/583472), [How to sum this series to infinity: $\sum_{n=0}^{\infty} \frac1{2^{2^n}}$](https://math.stackexchange.com/q/788772). – 2017-08-25