Hi! Can you please help me solve this question.

Pane The purpose of the workshop is to illustrate error estimation in series. 1. For the series: OO S = 1 an n2 + n2 n.=1 n=1 With partial sum Sn = _"=1 aj, let Rn be the error incurred when using S, as an approximation of S, that is, Rn = s - Sn = aj j=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 10-8. For the n found in (ii), calculate and report 10 decimal places of Sn. Compare it to the value s ~ 0.5882390122, which has 12 correct decimal places. Does de value you found meet the established error