WEBVTT
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So, given the graph, we're trying to find
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the values various limits of various quantities of, um
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, the 1st 1 were given which says thgraf purchased
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two from the left. We look at this first
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little graph drawn here. We see that from the
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left. Blue arrows were pointing towards, uh,
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this value circle here, this circle here which appears
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to be at that's why it was three. And
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this tells us that the limits of function, as
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we approach to from the left is equal to three
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. Now, for the next part to solve from
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the right hand side do the same thing. But
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the second graph, we go from the right side
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of to to here we see that this looks like
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it's going over the left and approach one. And
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if you want to find the value of, um
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, the limit as it approaches to, we have
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to look at both the left and right inside from
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the same time. And if we do that,
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we see that the left hand for just three,
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whereas the right hand purchase one, and that tells
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us that there isn't a value for as we approach
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to, because the two limits are different. So
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you would say that this does not exist. The
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fourth part there, um f of two, however
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, does express, um and calculate after two.
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We just look at the close circle. Close circle
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represents the value of the graph. So, as
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we can see on the first draft, close circle
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occurs when we're both from the left hand side and
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that is equal to three. So that tells the
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F off to as you go to three. And
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now we find a limit as we approach for you
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. Take a look at this craft on the far
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right here, and we see that from the left
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and from the right, they both approach the same
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point is easy with this yellow and green arrow here
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. And so we look towards left. We see
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that at four, um, it approaches for and
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that tells us that the limit, as would be
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approached for, is equal to four. Not to
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calculate ever for well towards for the close circle.
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But as you can see with the paragraph, there
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is no close circle on there. There's a whole
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wherefore happens. And since there's a whole, um
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, there is no value of F there. That
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actually tells us that it is not defined but the
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limit. And as you can see from this,
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the limit does not. The limit exists. What's
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the value at that point does not exist, and
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that's OK cause the limits, saying what happens as
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we approach it And as we approach for, we
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see that it's coming toe. It's looking like it's
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going to be equal to four. The actual value
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of four is not there, and that is how
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we would calculates the various values of limits and functions
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of this crap.