Day32-1432class - Math 1432 THINK: Which of the following...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 1432 THINK: Which of the following is not an anagram of a boat or ship? LONG ADO LEAN LOG SET VEER SEA TERM GET FAIR Important examples: ∞ ∫ 1 dx x ∞ = = ∑ n 1 1 n ∞ ∫ 2 1 dx x ∞ = = ∑ 2 n 1 1 n ∞ ∫ 1 2 1 dx x 11.1 Infinite Series General Properties: If ∞ = ∑ k k 0 a converges and ∞ = ∑ k k 0 b converges, then ( 29 ∞ = + ∑ k k k 0 a b converges. If ∞ = ∑ k k 0 a converges, then ∞ = α ∑ k k 0 a converges. Ex. 1 Does ∞ = - - + ∑ n 1 1 1 2n 1 2n 1 converge or diverge? Telescoping Series: A series such as - +- +- +- + 1 1 1 1 1 1 1 1 2 2 3 3 4 4 5 ... is called a telescoping series because it collapses to one term or a few terms. If a series collapses to a finite sum, then it converges. Ex. 2. Does the series 1 – 1 + 1 – 1 + 1 … converge or diverge?...
View Full Document

This note was uploaded on 03/06/2011 for the course MATH 1432 taught by Professor Morgan during the Spring '08 term at University of Houston.

Page1 / 22

Day32-1432class - Math 1432 THINK: Which of the following...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online