'Arbitrarily close' presentation slideshows

MA110 Exam-AID Session

MA110 Exam-AID Session . By: Riley Furoy & Amanda Nichol. Agenda. Functions Symmetry Increasing/Decreasing Composite Inverse Exponent Laws Logarithmic Functions Laws of Logarithms Change of Base Formula The Natural Logarithm Limits Limit Laws Horizontal & Vertical Asymptotes

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Simple Regenerating Codes: Network Coding for Cloud Storage

Simple Regenerating Codes: Network Coding for Cloud Storage. Dimitris S. Papailiopoulos , Jianqiang Luo , Alexandros G. Dimakis , Cheng Huang, and Jin Li University of Southern California, Los Angeles.

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Lectures on Calculus

Lectures on Calculus. The Inverse Function Theorem. by William M. Faucette. University of West Georgia. Adapted from Calculus on Manifolds. by Michael Spivak. Lemma One.

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Determining Limit Values

Determining Limit Values. Limits give us a language for describing how the outputs ( y values) of a function behave as the inputs ( x values ) approach some particular value . Sometimes we use direct substitution, factoring, rationalizing or expanding to calculate a limit.

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As x approaches a finite value

Limits. f ( x ) can become arbitrarily large. f ( x ) can approach a finite value. As x approaches a finite value. As x becomes arbitrarily large. Limits. Show that. Some limits do not exist. f ( x ) can become arbitrarily large. Worked example.

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MAT 3749 Introduction to Analysis

MAT 3749 Introduction to Analysis. Section 2.1 Part 1 Precise Definition of Limits. http://myhome.spu.edu/lauw. References. Section 2.1. Preview. The elementary definitions of limits are vague. Precise ( e - d ) definition for limits of functions. Recall: Left-Hand Limit. We write

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Sequences and Series

Sequences and Series. Unit 12. Arithmetic and Geometric Sequences. Unit 12: Sequences and Series. Vocabulary. Arithmetic Sequences. Geometric Sequences. Series. Unit 12: Sequences and Series. Series. Sigma Notation. Series Shortcuts. Series Shortcuts. Limits of Functions.

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Calculus I (MAT 145) Dr. Day Wednesday March 20, 2013

Calculus I (MAT 145) Dr. Day Wednesday March 20, 2013. 4.1: Extreme Values Gateway Quiz # 4 : Tomorrow. MAXIMUM & MINIMUM VALUES. A function f has an absolute maximum (or global maximum) at x = c if f ( c ) ? f ( x ) for all x in D , where D is the domain of f .

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Section 1.2

Section 1.2. Introduction to Limits. Definition of Limit. If f ( x ) becomes arbitrarily close to a unique number L as x approaches c from either side, the limit of f ( x ) as x approaches c is L . This is written as.

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1.2

Finding Limits Graphically and Numerically. 1.2. An Introduction to Limits. To sketch the graph of the function for values other than x = 1, you can use standard curve-sketching techniques. At x = 1, we know something is going to happen. What is that something?. An Introduction to Limits.

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Limits

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DEFINITION OF LIMIT

DEFINITION OF LIMIT. We are going to learn the precise definition of what is meant by the statements and . We must make precise our intuitive notion that

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Low complexity and distributed energy minimization

Low complexity and distributed energy minimization . L. Lin, X. Lin and N. B. Shroff Presented by: Srikanth Hariharan. Introduction. Goal: To minimize total power consumption in a multi-hop wireless network subject to a given load.

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Chapter 9

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1.2 An Introduction to Limits

1.2 An Introduction to Limits. We have a point discontinuity at x = 1. What happens as from the left and from the right?. as x approaches 1. .75 .9 .99 .999 1 1.001 1.01 1.1. x f(x). 2.31 2.71 2.97 2.99. ?. 3.003 3.03 3.3. f(x) aproaches 3.

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The Precise Definition of Limit

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4.3

4.3. GRAPHS OF EXPONENTIAL FUNCTIONS. Graphs of the Exponential Family: The Effect of the Parameter a. In the formula Q = ab t , the value of a tells us where the graph crosses the Q-axis, since a is the value of Q when t = 0. Q =50 (1.2) t. Q =150 (1.2) t. Q =50 (1.4) t.

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Calculus I

Calculus I. Section 2.4 The Precise Definition of the Limit of a Function. Definition. The limit of f(x) as x approaches a is given by:

261 views • 6 slides