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Unformatted text preview: error in using s 10 as an approximation to the full sum of the series. 4. (a) Explain why the integral test can be used to determine the con-vergence of the series X n =2 1 n (ln n ) 2 . Then show that the series is convergent. (b) Find n such that the n th partial sum of the series, s n , estimates the actual sum with error at most 1 100 . 5. Determine whether the following series converge or diverge. (a) X n =0 ne-n 2 (b) X n =3 1 n ln n ln ln n (c) X n =0 n 2 1 + n n 2...
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