CalcNotes0201-page12 - (Section 2.1 An Introduction to...

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(Section 2.1: An Introduction to Limits) 2.1.11 Right-Hand Limit: lim x ± 0 + fx () = 1 . This is because the function values approach 1 as we approach x = 0 from the right. Left-Hand Limit: lim x ± 0 ² does not exist (DNE). This is because function values in this example are undefined as we approach x = 0 from the left. In order for the left-hand limit to exist, there must exist an interval of the form c ,0 on (i.e., throughout) which the function is defined, for some negative real constant c . That is not the case here. By the way, why did we give the interval form c and not
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