(Section 2.1: An Introduction to Limits) 2.1.11 Right-Hand Limit: limx±0+fx()=1. This is because the function values approach 1 as we approach x=0from the right. Left-Hand Limit: limx±0²does not exist (DNE). This is because function values in this example are undefined as we approach x=0from the left. In order for the left-hand limit to exist, there must exist an interval of the form c,0on (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 cand not
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