Hi, I need to find the sum of such series:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum_{n=1}^{\infty}\sin{\frac{\pi}{2^n}}[/tex]

i know that it's sum is less than [tex]\pi[/tex] but i dont know how to find the exact value.

thanks in advance for any help or clues

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# Problem with a sum of series

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