'Hand limits' diaporamas de présentation

Unit A Overview

Unit A Overview. Limits and Continuity. Limits. Definition of a limit. The limit is a method of evaluating an expression as an argument approaches a value. This value can be any point on the number line and often limits are evaluated as an argument approaches infinity or negative infinity.

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2.1 Rates of Change & Limits

2.1 Rates of Change & Limits. Average Speed. Average Speed. Since d = rt ,. Example: Suppose you drive 200 miles in 4 hours. What is your average speed?. = 50 mph. Instantaneous Speed. The moment you look at your speedometer, you see your instantaneous speed. Example

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2.1 Rates of Change and Limits

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. 2.1 Rates of Change and Limits. Grand Teton National Park, Wyoming. Chapter 2 Section 1 Rates of Change and Limits Powerpoint Reflections. Then your average speed is:.

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The Limit of a Function

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington Adapted by: Jon Bannon, Siena College. The Limit of a Function. Grand Teton National Park, Wyoming. Then your average speed is:. Suppose you drive 200 miles, and it takes you 4 hours.

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2.1 Rates of Change and Limits

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. 2.1 Rates of Change and Limits. Grand Teton National Park, Wyoming. Then your average speed is:. Suppose you drive 200 miles, and it takes you 4 hours.

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2.1 Rates of Change and Limits

2.1 Rates of Change and Limits. Then your average speed is:. Suppose you drive 200 miles, and it takes you 4 hours. If you look at your speedometer during this trip, it might read 65 mph. This is your instantaneous speed. A rock falls from a high cliff.

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Rates of Change & Limits

Rates of Change & Limits. Greg Kelly, Hanford High School, Richland, Washington. Then your average speed is:. Suppose you drive 200 miles, and it takes you 4 hours. If you look at your speedometer during this trip, it might read 65 mph. This is your instantaneous speed.

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2.4:Introduction To Limits

2.4:Introduction To Limits. Objectives:. Understand the concept of a limit Calculate limits using graphs and tables. Greg Kelly, Hanford High School, Richland, Washington Modfied: Mike Efram Healdsburg HS 2004. How do Limits relate to the rest of Calculus?.

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Day 1

Limits. Day 1. Bell work. Find the limit if it exists. Find the limit if it exists. The limit of a function refers to the value that the function approaches , not the actual value (if any). not 1. Properties of Limits:.

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Using the Sandwich theorem to find

Using the Sandwich theorem to find. If we graph , it appears that. Unfortunately, neither of these new limits are defined, since the left and right hand limits do not match. Unfortunately, neither of these new limits are defined, since the left and right hand limits do not match.

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12.1 Estimating Limits Graphically

Essential Question. How can I find one-sided limits? How can I find infinite limits?. 12.1 Estimating Limits Graphically. Day 2. Left-hand and right-hand limits. We write The limit of f(x) as x approaches c from the left is L. Similarly, we write.

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2-1 Rates of Change and Limits

2-1 Rates of Change and Limits. Average vs. Instantaneous Speed Position function ? f ( t ) time ? t time interval ? h Average speed. Ex 1) A rock breaks loose from the top of a cliff. What is the average speed during the first 2 seconds of fall?. h.

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Section 1.7

Section 1.7. The Precise Definition of a Limit. THE PRECISE DEFINITION OF A LIMIT. Definition : Let f be a function defined on some open interval that contains the number a , except possibly at a itself. Then we say the limit of f ( x ) as x approaches a is L , and we write

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