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So in this problem we're given this function F on
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this graph here, this graph grass to find a
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number of limits and a value. So the first
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one were asked to find the limit As X approaches
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one ah F of X. So we can see
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, first of all as f as X approaches one
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, whether it's from the left from the right,
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then what we have is the value of the function
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as the function is continuous right here. And this
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value of the function is actually appear at two and
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I draw on this a little bit better. I
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would have drawn it like that. Okay, it
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would be obvious. They're all right, yeah,
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B is the limit as X approaches three from the
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left of our function. So, as we approached
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three from the left over here, I mean,
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we're coming up this curve, this goes to a
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value on our function of one. All right.
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They were asked to find, I put this up
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here, the limit, His ex approaches three from
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the right of our function. And so now we're
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coming up on this curve from the right, which
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goes to this value here. So this is four
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, and d says the limit as X approaches three
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of f of X. Well, the problem here
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is The limit as x approaches three means the limit
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from the left and the right. Both have to
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be the same and they are not. So this
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does not exist as for this to exist limit from
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the left, this limit and this limit must be
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equal and they are not so therefore that limit does
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not exist. And then E says F at three
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. Well, the function of three is where that
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dot is right there, at dot right there,
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which is appear at three. And so therefore,
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we have the answer now To all five parts of
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this problem.