Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula 1 2s2

Chapter 11, Problem 50

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Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula 1 2s2 9801 o ` n0 s4nd!s1103 1 26390nd sn!d 4 3964n William Gosper used this series in 1985 to compute the first 17 million digits of . (a) Verify that the series is convergent. (b) How many correct decimal places of do you get if you use just the first term of the series? What if you use two terms?

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