'Limit exists' diaporamas de présentation

Lecture 5

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Chapter 2 Limits and the Derivative

Chapter 2 Limits and the Derivative. Section 3 Continuity. Objectives for Section 2.3 Continuity. The student will understand the concept of continuity The student will be able to apply the continuity properties The student will be able to solve inequalities using continuity properties.

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Chapter 3 Limits and the Derivative

Chapter 3 Limits and the Derivative. Section 3 Continuity. Learning Objectives for Section 3.3 Continuity. The student will understand the concept of continuity The student will be able to apply the continuity properties

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Chapter 10 Limits and the Derivative

Chapter 10 Limits and the Derivative. Section 3 Continuity. Learning Objectives for Section 10.3 Continuity. The student will understand the concept of continuity The student will be able to apply the continuity properties

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Limits Numerically

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13.2 Limits and Continuity day 1

13.2 Limits and Continuity day 1. Example 2. Evaluate: Discuss any points of discontinuity. Example 4. Show the limit does not exist:. Example 4. Example 3. Evaluate:. Evaluate:. To solve this problem, first substitute to find that it is not continuous.

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Chapter 3 Limits and the Derivative

Chapter 3 Limits and the Derivative. Section 1 Introduction to Limits. Learning Objectives for Section 3.1 Introduction to Limits. The student will learn about: Functions and graphs Limits: a graphical approach Limits: an algebraic approach Limits of difference quotients.

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Introduction to integrals

Introduction to integrals. Integral, like limit and derivative, is another important concept in calculus Integral is the inverse of differentiation in some sense There is a connection between integral calculus and differentiation calculus.

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Finding Limits Using Tables and Graphs

Finding Limits Using Tables and Graphs. Sections 11.1. Objectives. Find limits using tables. Find limits using graphs. Find one-sided limits and use them to determine if a limit exists. Vocabulary. limit limit notation one-sided limits calculus. Construct a table to find.

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11.4 Limits at Infinity

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Review: 1. What is a limit? 2. Is the slope a rate? Why or why not?

Review: 1. What is a limit? 2. Is the slope a rate? Why or why not? 3. Can a rate be infinitesimal?. Vocabulary: Limit: The value a function approaches as the x value gets closer and closer to it's target.

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Improper Integrals

Improper Integrals. Lesson 8.8. Improper Integrals. Note the graph of y = x -2 We seek the area under the curve to the right of x = 1 Thus the integral is Known as an improper integral. To Infinity and Beyond. To solve we write as a limit (if the limit exists). Improper Integrals.

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Introduction to Limits

Introduction to Limits. Does limits of function exist?. Description of limits. Limits come in all different shapes and sizes. Some functions have limits at all points, while others contain holes. Some functions may not have a limit at all. Basic Limit Structure. x ? c.

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2.3 Basic Limit Laws Thurs Sept 19

2.3 Basic Limit Laws Thurs Sept 19. Do Now: Determine whether the limit exists via numerical (table) or graphical evidence. Explain why. Computation of Limits. Thm - For any constant c and any real number a, Ex: Thm - For any real number a, Ex:.

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Day 1

Day 1. Limits and continuity (no calculator). x + 2 4x 3 - 4x 2 - 24x. Given f(x) = a) Find the horizontal and vertical asymptotes of f(x). b) identify and resolve any removable discontinuities that exist. (A) None (B) I only (C) II only (D) I and II only (E) I,II, and III.

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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:

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Limit: A function f has the limit L as x approaches a , written:

Limits. Limit: A function f has the limit L as x approaches a , written: If all values f (x) are close to L for values of x that are arbitrarily close to but not equal to a itself. lim x?a f(x) = L. lim x?4 2x+3 = 11. Example: Find the limit of f (x) = 2x+3 when x=4. 10.

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Power Series

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