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Unformatted text preview: n S b-=-∑ is the sum of an alternating series that satisfies ( 29 1 1 ( ) 0 and lim then n n n n n n n i b b ii b R s s b + + →∞ ≤ ≤ = =-≤ Example: How many of the terms of the series 1 4 1 ( 1) n n n + ∞ =-∑ do we need to add in order to find the sum so that the error <0.001? Example: Approximate ( 1) (2 )! n n n ∞ =-∑ to four decimal places. Example: Find an approximation of the series 1 1 ( 1) n n n + ∞ =-∑ using the partial sum S 100 . What is the maximum possible error using this approximation? Example: Find an integer n such that, using S n as an approximation of the series 2 ( 1) ln n n n ∞ =-∑ the maximum possible error is 0.0001....
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This note was uploaded on 01/20/2012 for the course MATH 2057 taught by Professor Estrada during the Fall '08 term at LSU.
- Fall '08