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: for just yes or no; do not refer to behavior). X n =1 n n 4 + 1 I will use the Limit Comparison Test to compare n n 4 +1 to 1 n . (The inspiration to choose 1 n was by thinking about the behavior of n n 4 +1 as n gets large, but talk about approximating behaviors does not count as a solution for this class.) So I consider lim n 1 n n n 4 +1 = lim n n 4 + 1 n 2 = lim n p 1 + 1 /n 4 1 = 1 . By the Limit Comparison Test, since n =1 1 n diverges, so does n =1 n n 4 +1 . 3. (2 points) Give an example of (a) an alternating series that converges n =1 (-1) n n (b) an alternating series that does not converge n =1 (-1) n...
View Full Document
This note was uploaded on 03/25/2011 for the course MATH 1B taught by Professor Reshetiken during the Fall '08 term at University of California, Berkeley.
- Fall '08