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and this problem were asked to name three types of
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behavior associated with the non existence of a limit.
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Then we have to demonstrate each type with the graphical
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. Exactly. So we're going to use one graph
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that shares all three examples. So we can kind
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of break this graph into through some photographs, if
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you like, but it kind of just put them
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on one grid. But we'll look at each type
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of example that we see here. So if we
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look right here at the behavior around negative too.
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Yeah, we see that to the left of negative
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, too. FX is approaching negative infinity. But
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as X is approaching negative too. From the great
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hand side after Lex is approaching positive infinity. So
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I will say we'll name this as our first type
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of example. For example, one we have that
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the left and right limits our infinite and do not
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agree. So this is kind of horn. You'll
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see some sort of for a glass of Tokay.
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That's usually the case. No. If we look
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over at the behavior around zero help, we see
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that the limit is approaches. Zero from the left
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appears to be 0.5, but from the right,
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it appears to be positive for, so the limit
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does not exist there. So this is an example
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of a case where the left and right limits are
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finite and they do not. They're finite, but
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they do not drink. Now. Finally, let's
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find our last example. So if you look over
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at the behavior of four, this one's interesting because
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we look at the left and right limits. They're
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the same. They're both approaching positive affinity. But
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positive affinity is not finite row value. So in
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this case, this is an example where the left
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right moments, I agree, but they are infinite
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values. So this is the's air. Three different
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examples of three types of behavior associated with the non
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existence of limits.