PPT-Goal: Does a series converge or diverge?

Lecture 24 Divergence Test 1 Divergence Test If a series converges then sequence converges to 0 Example 1 ConvergeDiverge 2 Example 2 ConvergeDiverge Example 3 ConvergeDiverge. Flowserve Worcester Controls Series 44 threepiece ball valves for many years the most respected ball valve design in the industry are now better than ever A major research design and testing program brings you a new valve designed to ANSI B1634 spec to put into appropriate form NO Does lim 64257nite YES YES Diverges NO TAYLOR SERIES Does NO Is in interval of convergence YES 0 YES Diverges NO Try one or more of the following tests NO COMPARISON TEST Pick Does converge Is 0 YES Converges YES Is 9-D . Comparison Tests . The Direct comparison Test . If 0 < a. n . < . b. n. . . for all n and positive terms, then:. If the larger series converges, then the smaller series must also converge. . Digital Renaissance hat Convergence . Tests and Taylor . Series. Part I: Convergence Tests. Objectives. Know how to decide if a series converges or not. Corresponding sections in Simmons: 13.5, 13.6,13.7,13.8. Important examples. B,C,andE.Tosimplifythehardware,DMPusessomecontrol-owinformationprovidedbythecompiler.Thecompileridentiesandmarkssuitablebranchesascandidatesfordynamicpredication.Thesebranchesarecalleddivergebranche (a) an ordered list of objects. . (b) A function whose domain is a set of integers.. Domain: 1, 2, 3, 4, …,. n. …. Range . a. 1, . a. 2, . a. 3, . a. 4, … . a. n. …. {(1, 1), (2, ½), (3, ¼), (4, 1/8) ….}. There is overwhelming evidence for the evolution of life on Earth. . Evolution in summary. Evolution occurs when heritable characteristics of a species change. . Evolution at its most fundamental level simply describes a . Developing and using models. Planning and carrying out investigations. Analyzing and interpreting data . Using mathematics and computational thinking. Constructing explanations (for science) and designing solutions (for engineering). Light . travels through space in . straight lines. . If a ray of light meets a body in its passage through space one of three things may happen. :. It may be . absorbed. . It may be . reflected.. It may be. Absolute Convergence . Conditional Convergence . 6. Does . . converge or diverge?. If it converges, is it conditionally or . absolutely convergent?. 7. Does . . converge or diverge?. If . Occasionally, a series may have both positive and negative terms and not be an alternating series. For instance, the series. has both positive and negative terms, yet it is not an alternating series. One way to obtain some information about the convergence of this series is to investigate the convergence of the series. The slides can be copied and pasted into your own presentation. Thanks for your help in promoting College Goal Wisconsin!. MARK YOUR CALENDAR!. COLLEGE GOAL WISCONSIN IS BACK!. Wednesdays, October . 3, 10, 17, . © 2012 Rules No calculators, books, or phones. Teams alternate choosing targets. Every person takes a turn and can consult team members before answering the question. If correct, the target is revealed. The first team to uncover all 3 battleships wins.