MATH 132 Lecture Notes - Lecture 1: Asymptote
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18 Sep 2016
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We"re going to discuss limits in this class throughout the rest of the semester. The mathematical meaning of a limit may be very close to or very different from your perception of the word limit. Since this is a function, there is only one y-coordinate for each x value. Each of these represents a number which is, in fact, the y-coordinate which corresponds to the x- Now let"s look at the y-coordinates not at a particular x-value, but for values close to an x-value. For instance, let"s look at the y-values corresponding to x-values which are close to 1. Values that are close to 1 might be 0. 9 or 0. 99 or. All of these values are close to 1. Let"s list these x-values from smallest to largest. 0. 9, 0. 99, 0. 999, 1 , 1. 001, 1. 01, 1. 1 (the closer the numbers are physically to the 1, the closer their value is to 1 also. ) Now let"s find the corresponding y-values. x y.
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