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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

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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 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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