WEBVTT
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This is problem number thirty of Stuart Calculus, eighth
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edition, Section two point two. Party has to
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meet. The value of the limit is experts zero
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of sign of X threated by sign. Ah,
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pi X, I graphing the function of state Your
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answer correct to two decimal, please. So we
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are going to take this function sign of X divided
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by sign of pranks. And we're going to plant
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this function around this area. X goes to zero
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. You do this with your graphing calculator or any
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other graphing device here in our spreadsheet. We have
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set up this plot of this function and we assumed
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an already very close to zero. And now we're
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preserving exactly where this my cross, the y axis
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. You see that it approaches from the left in
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a hurry. That purchase value approximately zero point three
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two. But it may be more Kurt to say
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, a value, lest then zero point three two
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. However, using a graph is not the most
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direct answer. So for the time being for party
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, we're going to estimate this. Yes, we
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can and say, that is, um it is
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approximately zero plane three two for part B we're going
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to check her answer and evaluate the function for various
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values that are close to zero. And in this
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way we may be able to estimate the limit further
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in a spreadsheet. We have used some values to
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plot the function here, and we're gonna take a
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look at this list of values and determined what the
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limit might be. We have values here that approach
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zero from the right, and we see that the
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values decrease closer and closer to a number. Their
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point three one eight three Ah, and so on
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. Same thing from the left hand side, we
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get about the same values. All the calculations are
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mirrored about to this y axis. And finally,
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what we can conclude is that the actual limited is
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closer to about zero point three one eight, which
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is a very close to our estimation of zero point
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three two term party. We're going to say that
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the limit is actually approximately zero point three one eight
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, which is a slight Lee better estimate than party