2.3 Limits of Functions



The concept of the limit of a function at a point is formally introduced. Rules for computing limits are also given, and some situations are described where the limit does not exist.

By the end of your studying, you should know:

On-screen applet instructions: Use the slider to let h -> 0 and investigate the limiting behavior of f(2 + h) as h -> 0. Compare approaching h = 0 from the right, and from the left. Why does, or doesn't, the limit exist at h = 0?




What is

Evaluate the limit


Find conditions on coefficients a and e so that


Limits of Functions


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See Exercises for 2.3 Limits of Functions (PDF).

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2.2 The Legacy of Galileo, Newton, and Leibniz Table of Contents 2.4 Limits at Infinity

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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel