WEBVTT
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this problem. Number thirty three of the sewer calculus
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eighth edition Section two point three Party has to meet
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. The value of the limit is ancient experts.
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Zero of extroverted pine, the square root of the
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quantity on plus three x minus one. My graphing
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The function Evan X equals X, divided by the
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quantity square root of the quantity. One mystery X
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minus one. If we plant dysfunction is in any
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party utility, see that it resembles a straight line
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and it approaches about point six or repeating from the
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left and from the right. And so we would
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estimate this limit at this point to be a power
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point six repeating or about two thirds from the graph
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party. Make a table of values of half for
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X close to zero and guess the valuable element in
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our spreadsheet. We used these values to graph the
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plan. Bali is at great cost zero and is
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he Considine As we approach from the right hand from
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the left, the values seem to approach the value
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of zero point six. Repeating S o. The
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table table of values method also confirms our estimate of
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Lim being equal to two thirds party. Use a
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limit laws to prove that your guess is correct.
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So he will ah rewrite to limit on the next
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page Lim and sex britches hero tied up by the
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quantity screwed of one history X minus one and what
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we're going to do as we're going to use a
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country, it of the denominator to rationalize it.
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That will be the quantity on P three x square
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plus one. Want to play to the top and
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the bottom and we see that you get he rationalized
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nominator one plus three x minus one and then the
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numerator x times screwed of the quantity on those three
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acts, plus one here one and eight of one
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. Cancel X and X or cancel as they as
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it is shown right there. And then we have
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a much simpler limit as experts zero the square root
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of the quantity one post reacts plus one divided by
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three has experts zero. This approach is one plus
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one over three, which is equal to two thirds
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, and this value agrees various parts A and B