PPT-Chapter 4 Sequences Section 4.2 Limit Theorems Suppose that (

Chapter 4 Sequences Section 42 Limit Theorems Suppose that s n and t n are convergent sequences with lim s n s and lim t n t Then To simplify our work with convergent sequences we prove several useful theorems in this section The first theorem shows that algebraic operations are compatible with taking limits. Both sell their output to the same grocery store chains that carry organic foods so in a real sense Yves and Zoe compete with each other Does this mean that Yves should try to stop Zoe from growing tomatoes or that Yves and Zoe should form an agreem The End Justifies the Means. Good Makes Right. McGraw-Hill. © 2013 McGraw-Hill Companies. All Rights Reserved.. 5.2-. 2. Consequentialism vs. Formalism. Consequentialism. (teleology): the rightness of an action is determined by its consequences. And suppose you were a member of Congress.. But then I repeat myself.. ~ Mark Twain. Welcome APGOPO to Friday, August . 21, 2015. Objective. : . Students . will understand what APGOPO is and how to be successful. Section 2.4. Section Summary. Sequences.. Examples: Geometric Progression, Arithmetic Progression. Recurrence Relations. Example: Fibonacci Sequence. Summations. Introduction. Sequences are ordered lists of elements. . Section 2.1. Rates of Change and Tangents . Lines to . Curves. Section 2.2. Limit of a Function. and Limit Laws. Section 2.3. The Precise Definition of a Limit. Section 2.4. One-Sided Limits. Section 2.4. Section Summary. Sequences.. Examples: Geometric Progression, Arithmetic Progression. Recurrence Relations. Example: Fibonacci Sequence. Summations. Special Integer Sequences (. optional. Section 10.1. Sequences. Section 10.2. Infinite Series. Section 10.3. The Integral Test. 10.4. Comparison Tests. Section 10.5. Absolute Convergence; The . Ratio and Root Tests. Section 10.6. Alternating . Problem: count number of ancestors. . one has 2 parents, 4 grandparents, 8 great- grandparents, …, written in a row as. 2, 4, 8, 16, 32, 64, 128,…. To look for pattern of the numbers,. For a general value of . Problem: count number of ancestors. . one has 2 parents, 4 grandparents, 8 great- grandparents, …, written in a row as. 2, 4, 8, 16, 32, 64, 128,…. To look for pattern of the numbers,. For a general value of . “Monotone Sequences”. All graphics are attributed to:. Calculus,10/E. by Howard Anton, Irl Bivens, and Stephen Davis. Copyright © 2009 by John Wiley & Sons, Inc. All rights reserved.”. Introduction. More Practical Problems. Jiaping. Wang. Department of Mathematics. 04/24/2013, Wednesday. Problem 1. Suppose we know in a crab farm, 20% of crabs are male. If one day the owner catches . 400 crabs. , what is the chance that more than 25% of the 400 crabs are male?. . 4.1. Convergence. A . sequence. . S. is a function whose domain is the set of natural numbers.. We usually write . s. n. . instead of . S. (. n. ).. We may describe the sequence . S. as (. Consider the following sequence . , . , . , . ,…. Each term of this sequence is of the form .  . What happens to these terms as n gets very large? . In general, the . , for all positive r .  . Many sequences have limiting factors. Weekly Check-In. Discussion. : Any upcoming travel plans? . Chapter 18. Chapter 19. Goals!. Bob - expanding to 3 sentences. John - talking slower and catching errors. Bill - limit to 3 sentences. Larry - just keep working on reading and memory independently.