1.5.notes

1.5.notes - MAC 2233/001-006 Business Calculus, Fall 2011...

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MAC 2233/001-006 Business Calculus, Fall 2011 CRN: 81700–81702, 81705, 81716, 81715 Assistants : Matthew Fleeman, Arbin Rai, Tadesse Zerihun, Vindya Kumari, Junyi Tu, Jing- han Meng Brief notes on limits : Understanding the concept of limits. I shall brie±y recapture the example on ²nding limits that we have done (or are going to complete) in class. We shall use the graph of the function y = f ( x ) below as an example throughout this note. We start by asking: Question . What happens to f ( x ) as x approaches 2 (from both sides and x n = 2)? Answer . As x approaches 2 from the left, we see that f ( x ) approaches 1. Also, as x approaches 2 from the right, f ( x ) approaches 1 also. Thus, the answer is: When x 2, we see that f ( x ) 1. De²nition . We have the following informal de²nition of a limit. If f ( x ) approaches a number L (and note that in²nity is not a number) when x approaches a number c (from both sides and x n = c ), we say that “the limit of
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1.5.notes - MAC 2233/001-006 Business Calculus, Fall 2011...

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