$$S=\sqrt \frac{1}{2}\sqrt {\frac{1}{2}+ \frac{1}{2}\sqrt \frac{1}{2}}\sqrt {\frac{1}{2}+ \frac{1}{2}\sqrt {\frac{1}{2}+ \sqrt \frac{1}{2}}} . . .$$
Answer is 2. Please help. I tried taking log but it was not fruitful.
The value of the following series is S. Find pi
2
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sequences-and-series
infinite-product
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2Think about the cosine half-angle formula. – 2017-02-19
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0Thanks a lot Ron. Great help! :) – 2017-02-19