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Bound of error of alt. series
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[QUOTE="syeh, post: 4710406, member: 473452"] [h2]Homework Statement [/h2] if the series ∑(n=1, goes to infinity) (-1)^n/(n^3) is approximated by its ninth partial sum, find a bound for truncation error [h2]Homework Equations[/h2] Alternating Series Estimation Thm: If alternating series is CONVERGENT, then truncation error for nth partial sum is less than U(sub(n+1)) and has the same sum as the first unused term: |error|< U(sub(n+1))[h2]The Attempt at a Solution[/h2] |error|< U(sub10) U(sub10) = 1/10^3 |error|< 1/1000 is this right..? [h2]Homework Statement [/h2] [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] [/QUOTE]
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Bound of error of alt. series
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