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Can you help me solve this question? The purpose of the workshop is to illustrate error estimation in series. 1. For the series: ' n=1

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Can you help me solve this question?

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The purpose of the workshop is to illustrate error estimation in series. 1. For the series: ' n=1 With partial sum Sn = 235:1 aj, let Rn be the error incurred when using 5.1 as an approximation of S, that is, on Rn=sSn= Z aj I i=n+1 (i) Using comparison with a geometric series, obtain an upper bound for Rn, for all n 2 1' (ii) Find a value for n for which the error is less than 10'". (iii) For the n found in (ii), calculate and report 10 decimal places of Sn. Compare it to the value 5 ~ 0.5882390122, which has 12 correct decimal places. Does de value you found meet the established error

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