If the left- and right-hand limits were equal, that is, if = then it can be proved that exists and . L1 L2, Since in Figure , we see that does not exist in this case. L1 L2 ≠ When Limits Do Not Exist Whenever there is no number such that , we say does not exist. Here are three examples in which L limits fail to exist.
If the left- and right-hand limits were equal, that is, if L1 = L2, then it can be proved that exists and . Since L1 ≠ L2 in Figure , we see that does not exist in this case. When Limits Do Not Exist Whenever there is no number L such that , we say does not exist. Here are three examples in which limits fail to exist.
1.8.docx