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Unformatted text preview: series tend to 0, determine if the series converge: 1. 1 X n =1 (3 = 4) n 2. Harmonic Series 1 X n =1 1 n 4 Determine if the series converges or diverges. If converges, ±nd the sum. ex. 1 X n =1 n 2 5 n 2 + 4 ex. 1 X n =1 ( ± 1) n ex. 5 ± 10 3 + 20 9 ± 40 27 :::: 5 ex. 1 X n =1 2 2 n 3 1 ± n ex. 1 X n =1 e n n 2 6 ex. 1 X n =1 ± 1 + 1 n ² n 7 NYTI: 1 X n =1 (1 = 2) n ± 1 (Geometric, 2) 1 X n =3 ( ± 5 = 4) n (Geo., Diverges) 1 X n =1 5 4 n (Geo., 5 3 ) 1 X n =1 e n 3 n ± 1 (Geo., 3 e 3 ± e ) 1 X n =1 n p 2 (TFD) Tonight’s homework: work out series problems: geometric series, harmonic series, divergent series due to test for divergent. 8...
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 Spring '08
 Bonner
 Calculus, Infinite Series

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