Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula
William Gosper used this series in 1985 to compute the first 17 million digits of π.
(a) Verify that the series is convergent.
(b) How many correct decimal places of π do you get if you use just the first term of the series? What if you use two terms?
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Calculus, Early Transcendentals
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