WEBVTT
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in this problem, we're asked why requirement that the
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function be defined on open toe containing see except possibly
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at sea is necessary for the definition of a limit
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. So we'll use the graft to the left to
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kind of understand a little bit more about that requirement
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. So to kind of sum it all up,
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we need the function to be defined around that value
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. See, because the limit is described by the
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behaviour of the function as Ex gets closer and closer
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to see it. So we need some open interval
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around that value to be defined, because within that
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interval is where we'll study the behaviour of the function
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. So even if you have seen is not to
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find the function is defined around see so we can
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study that. So let's study the example to the
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left and here will, let's see, be full
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to you, possibly two. No, If we
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look at our graph right here, we can see
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that limit as X approaches to is about 0.5 because
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the graph or the function values around too, from
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the left and the right are getting closer and closer
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to Sarah 0.5. This why value right here However
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you can see Fuck that the actual function value at
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two is not defined. But this doesn't effect the
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value of the limit. Hey!