MAT 1300 Lecture Notes - Lecture 5: Classification Of Discontinuities
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7 Feb 2018
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MAT 1300 Full Course Notes
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Learning goals for this lesson: knowing the definition of a limit, how to write the notation of a limit, knowing the definition of continuity and its two main types. A limit is an approximate state of f(x). It is the predicted value f(x) when x is close to a", even though it is not related to a". *the notation for a limit: lim f(x) x 0. Example on pg. 74 of textbook and discussed in class: (calaway, hoffman, lippman. To answer this question, look at the graph when x=2. In this case, the limit when x is approaching 2, is 3. The proper notation for this question is: limf(x)=3 x 2. In this case, the limit does not exist. This limit does not exist because there is a hole. We know that there is a hole when the circle on the graph is not filled in.