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o0 1 (% 3% r) Suppose you want to approximate the series E F by its partial sum, with an error of no more than
o0 1 (% 3% r) Suppose you want to approximate the series E F by its partial sum, with an error of no more than n2 n=1 1000 (a) Use the error bound from Problem 22 of this assignment to bound the error incurred by approximating Z W|th Z n=1 Ii#il (b) Find the smallest whole number N such that the quantity in the rightmost blank above is no more than N (c) You set up a spreadsheet to calculate Z n=1 content of a cell is copied down its column. The first row consists of labels. Assume the table continues vertically for as long as necessary. 1 1000 = using your value of NV from (b), as shown below. The symbol | indicates that the o) A B 1 n a_n 2 1 =A2"(-2.5) 3 =A2+1 1 4 1 { 5 I} { N What formula will compute Z n=1 D where [V is the number you found in (b)? n= O =SUM(A1:A78) O =SUM(B1:B78) O =SUM(A1:A77) O =SUM(A2:A77) O =SUM(B2:B77) O =SUM(A2:A78) O =SUM(B1:B77) O =SUM(B2:B78)
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