Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula12s2

Chapter 8, Problem 42

(choose chapter or problem)

Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula12s2 9801 n0 4n!1103 26390n n!43964nWilliam Gosper used this series in 1985 to compute the rst 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 rst term of the series? What if you use two terms?

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