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fWilliam Gosper used this series in 1985 to compute the first 17 million digits of a. (a) Verify that the series is convergent. (b) How
\fWilliam Gosper used this series in 1985 to compute the first 17 million digits of a. (a) Verify that the series is convergent. (b) How many correct decimal places of a do you get if you use just the first term of the series? What if you use two terms? Note: you do not need to prove how small the error between the first (or first two) term(s) and the sum is just compare the values 1/so and 1/s, to a directly.2
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