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Oregon State University
Harvey Mudd College
Baylor University
01:59
Nutan Choudhary
If $f(x)=x+\sqrt{2-x}$ and $g(u)=u+\sqrt{2-u},$ is it true that $f=g ?$
00:06
Jeffery Wang
00:50
Masoumeh Amirshekari
00:59
Andy Scott
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Okay, The first what the next time we're going to talk about is going to be sequences. And in the next videos, we're gonna answer one of the main questions about sequences, which is, Does the sequence converge or diverge? So that's gonna be the main focus of the next lessons that we do because we're gonna learn some different techniques on how toe answer this converge or diverge. Question. Um, some of the other things we're gonna can't talk about. We're going to cover some limit some. What's some common limit? So well, do some videos on common limits and some common common limit set ups that you should be familiar with to save yourself some time. And then we're also going to talk about the hospitals. Rules sandwich. The're, um So some techniques for answering that converge or diverge questions the techniques, techniques. We're going to be the sandwich the're, um, which we will cover. And also we'll talk about low hospitals rule which you guys air, probably familiar with it commonly used to find limits, and it works the same way with sequences. But we'll review Blaha Patel's Ruelas well, and then some other things. We're gonna look about. Look at our Cem different types of sequences. So we're gonna look at a recursive Lee define sequence, how to find the limit of these recursive sequences as well. We're going to talk about monotone and that serum that goes along with what a monotone sequences. So then we're going to kind of look at types of sequences and those types we'll talk about if it's monitor and then also, if it's non decreasing, non increasingly. So this is kind of the set up for what the next couple of lecture videos air going to be on. This is going to set a foundation for the remainder almost the remainder of this course, so make sure that you have a strong grasp on this section, for sure as we move forward.
Series
Series Tests
Comparison Tests
Root and Ratio Tests
Alternating Series Test
21:37
10:25
09:58
17:47
22:42
11:09