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Chapter 1 Functions and Limits - Michigan State University

MTH 132 Chapter 1 - Functions and Limits MSU. Chapter 1. Functions and Limits Contents Motivation to Chapter 1 2. 4 Tangent and Velocity Problems 3. VIDEO - Secant Lines, Average Rate of Change, and Applications .. 3. VIDEO - Tangent Lines, Instantaneous Rate of Change, and Applications .. 5. 5 The Limit of a Function 7. VIDEO - A Graphical Approach .. 7. VIDEO - Evaluating Infinite Limits Numerically .. 9. 6 Calculating Limits Using the Limit Laws 11. VIDEO - Case 1 (0/N and N/N): Simple Limit Laws .. 11. VIDEO - Case 2 (N/0): Vertical Asymptotes as in Section 5 .. 12. VIDEO - Case 3 (0/0): Applying Algebra to Limits .. 13. VIDEO - Limits and Inequalities .. 14. 8 Continuity 16. VIDEO - What When and Why of Continuity .. 16. VIDEO - Oops Not Continuous .. 17. VIDEO - Continuity and the IVT .. 20. Page 1.

MTH 132 Chapter 1 - Functions and Limits MSU Example 4.7. If a rock is thrown upward on the planet Mars with an initial velocity of 10 meters per second, its height (in meters) tseconds later is well approximated by h(t) = 10t 2t2. (a)Find the average velocity over the time interval [1;2].

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