MATH1051 Chapter Notes - Chapter 4: Negative Number

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10 Aug 2018
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We say an input if, as we approach from both directions ( be some function and approaches this limit at a value. That(cid:495)s a fancy way of saying that the graph of the function looks as though you(cid:495)ll get the output. We say (cid:494)looks as though(cid:495) because we define limits regardless of what the value actually is at. If the output there is different, or not defined, it doesn(cid:495)t have any bearing on whether the limit exists or not. A simple example would be a modified absolute value function: agets arbitrarily close. , and a co-ordinate for (straight line going diagonally up function is only at that point. If you had: (straight line going diagonally up and to the left). As long as those lines clearly approach the same point, the limit. This function is going to have two lines, one where and to the right) and one where.

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