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Unformatted text preview: R n = s ± s n : and j R n j = j s ± s n j ² b n +1 : (This rule doesn’t apply to any other types of series.) pf. 6 Show that the series converges. How many terms of the series do we need to add in order to ±nd the sum to the indicated accuracy? ex. 1 X n =1 ( ± 1) n ± 1 ne ± n ( j error j ² : 01) 7 NYTI : ex. For what values of p is the series convergent? 1 X n =1 ( ± 1) n ± 1 n p , 1 X n =2 ( ± 1) n n (ln n ) p , 1 X n =2 ( ± 1) n (ln n ) p n ex. 1 X n =1 ( ± 1) n n n n ! ex. 1 X n =1 n ( ± 2) n ± 1 (Div, conv.) Tonight’s HW: Testing the convergence of Alternating series. 8...
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 Spring '08
 Bonner
 Calculus

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