Solved: Around 1910, the Indian mathematician Srinivasa

Chapter 8, Problem 8.4.42

(choose chapter or problem)

Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula 1 2s2 9801 n0 4n!1103 26390n n! 4 3964n limnl 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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