WEBVTT
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And this problem were asked to evaluate this limit and
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list the limit laws as we work through the problem
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. So we're given the limit as you approach is
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-2 of the square root. The view of the
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4th was three U plus six. All right.
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So by the limit law that some of the limit
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of the sums of the summer limits. In other
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words, limit is X approaches a of F of
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X plus gm X Pink bowls the limit as X
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approaches a F of X plus limit as X approaches
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a G F X very clean that up just a
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little bit and has the limit as X approaches a
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of the square root of F of X is the
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square root of the limit. As X approaches a
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F of X By these two laws. Mhm.
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Mhm. Then we have the square root Of the
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limit as X approaches minus to a view to the
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4th. Was the limit as not X should be
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a right. I mean you should be you You
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approach is-2 of three. You plus the limit
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As you approach is-2 of six. Okay,
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so as polynomial is a continuous function, then We
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have the square root of-2. The fourth plus
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three times minus you. Which by the way is
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the law that limit as X approaches a of C
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. F of X or C As some constant number
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. Is that constant number times the limit as X
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approaches a. Of fx. So that gives us
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that uh not minus you. Right, would be
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Oh no, okay. Ah This is not my
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issue. This is minus two right here. And
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then limit law at the limit as X approaches a
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. See some constant. It's just that constant.
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So that's plus six. So that gives us the
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square root of well 2 to the 4th. That's
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that's four square. That's 16 minus six plus six
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, which then means we have the squirt of 16
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, which is four. Therefore, answer is for
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for this limit.