This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: terms, prove that ss 6 ≤ 1 729 . 4. Determine whether or not the following series are convergent. (a) ∞ X n =2 (1) n ln n (b) ∞ X n =1 (1) n ( √ n 2 + 2 nn ) (c) ∞ X n =1 (1) n +1 e 1 /n n 5. Explain why each series below converges. Then ﬁnd the smallest integer n such that the n th partial sum s n will approximate the actual sum of the series s with error less than the given bound. (a) ∞ X n =1 n (1) n1 n 2 + 1 , with error less than 103 (b) ∞ X n =1 (1) n +1 n 2 2 n , with error less than 103 . (c) ∞ X n =1 (1) n ( n !) 2 , with error less than 106 . 6. Does the series ∞ X n =0 = √ 2 sin ± (2 n + 1) π 4 ² cos ³ nπ 2 ´ (1) n ( n + 1)1 converge or diverge. Justify your answer. 2...
View
Full
Document
This note was uploaded on 02/14/2012 for the course MATH 138 taught by Professor Anoymous during the Fall '07 term at Waterloo.
 Fall '07
 Anoymous
 Math, Calculus

Click to edit the document details