LIMITS OF FUNCTIONS USING THE SQUEEZE PRINCIPLE


The following problems involve the algebraic computation of limits using the Squeeze Principle, which is given below.

SQUEEZE PRINCIPLE : Assume that functions f , g , and h satisfy

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and

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Then

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(NOTE : The quantity A may be a finite number, tex2html_wrap_inline74, or tex2html_wrap_inline76. The quantitiy L may be a finite number, tex2html_wrap_inline74, or tex2html_wrap_inline76.)

The Squeeze Principle is used on limit problems where the usual algebraic methods (factoring, conjugation, algebraic manipulation, etc.) are not effective. However, it requires that you be able to ``squeeze'' your problem in between two other ``simpler'' functions whose limits are easily computable and equal. The use of the Squeeze Principle requires accurate analysis, deft algebra skills, and careful use of inequalities.


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Your comments and suggestions are welcome. Please e-mail any correspondence to Duane Kouba by clicking on the following address :

kouba@math.ucdavis.edu



Duane Kouba
Wed Oct 15 16:55:51 PDT 1997