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Unformatted text preview: n 2 5 p ± Series For what values of the constant p does the following p ± series converge? 1 X n =1 1 n p p ± Series Test: 8 > > > > < > > > > : 1 X n =1 1 n p is convergent when p > 1, 1 X n =1 1 n p is divergent when p ² 1 : ex. 1 X n =1 1 n : 9 ( div;p < 1) ex. 1 X n =1 1 n 4 ( con;p > 1) 6 ex. Determine the value of p so that the series converges. 1 X n =3 1 n ln n [ln(ln n )] p ( p > 1) 7 NYTI: ex. Determine whether the series converges. 1 X n =1 1 n 3 + n (conv.) ex. For what values of p would the series converge? a) 1 X n =1 1 n (ln n ) p b) 1 X n =1 (ln n ) p n Tonight’s Homework: Practice Integral test problems 8...
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 Spring '08
 Bonner
 Calculus

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