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How are the Taylor polynomials for a function centered at related to the Taylor series for the function centered at a?Choose the correct answer below:The product of...

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How are the Taylor polynomials for a function centered at related to the Taylor series for the function centered at a?Choose the correct answer below:The product of the Taylor polynomials for n = 1, n is the nth partial sum of the corresponding Taylor series _ The sum of the Taylor polynomials for n = 1, n is the nth partial sum of the corresponding Taylor series. The difference of the Taylor polynomials for n = 1, n is the nth partial sum of the corresponding Taylor series_ The nth Taylor polyn

How are the Taylor polynomials for a function centered at related to the Taylor series for the function centered at a? Choose the correct answer below: The product of the Taylor polynomials for n = 1, n is the nth partial sum of the corresponding Taylor series _ The sum of the Taylor polynomials for n = 1, n is the nth partial sum of the corresponding Taylor series. The difference of the Taylor polynomials for n = 1, n is the nth partial sum of the corresponding Taylor series_ The nth Taylor polynomial is the nth partial sum of the corresponding Taylor series



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How are the Taylor polynomials for a function $f$ centered at $a$ related to the Taylor series of the function $f$ centered at $a ?$

They have a tailor hole. No meals are related to them. Client Paul. No wheels and a quick look. I went down the function generator for both Paul. No meals. You could see that they're very closely related. The difference being Taylor approximation the tailor called No Wheels. It's going approximate my function given function F of X centered at some specific value, which I'm calling C. Where's in chlorine in is gonna approximate my half of axe centered. So, Terje, that's zero that isn't a McCoy in Siri's is a tailor. Siri's Let's see equal zero.

So we have this function on Therefore, fix equals to natural rhythm off X. We want to do pain or finger pointing. No nails, No. Baylor. Polly, um, around a equals e. So, uh, what we want to computer living in people? Zero This one would be just Well, peanut affects you re the value of the functions Happy, which have you feel in there? You'd have natural of a them off natural law, so Ah, that s peanut. We aren't a little baby. We won. This is responsibly. Linear approximation. Um, you have you won. He's well, these number not really. The movies one. So the one with the despite this Well, you know, the previous one p one. Oh, plus the value of the ability for the functional e m six minus. So they love dysfunction are if prime to be just one over X. So, uh, so these value me would be one over you, and so we'll even supply by x minus Seem do have that these p one is equal to one class ex Tory minus the or. But this year, delays one will compensate with this one. So that, uh, dealing a approximations just X or e Brazilian here and now you want to look at the between two approximation, the because dreaded approximation? Uh huh. The previous one of these X over here, plus the body off the already from 70 rhythm with function evaluated that you divided by two them six. My nose squared so well for the suppression. We have this function the second there, Chief. Forget it. Who off? Easy sex to the miners. One so that it would be minus excellent minus two. So it's one of these body there. Mom, that's gonna be X over T plus minus me to the minus two or two X miles squared. All this come very written. Also like the full unlike X or minus, um, miners. Ah, he's minor. These x minus the squared. I'm all that divided by two squared to the square. So that is some be to no to sketch how this would look like Do you have here, then? Why on the x axis? Uh, the function natural rhythm would be should be something like these. But there's value there, and that is one. And then, if you have, like you ever there the chorus point in height. There should be one. And these height there corresponds A, uh Well, we should be more. More like there. This is the not this is one than that is the line. Why equals one? That is a seriously no, no, no. Just one. No. Four day And Danielle Brooks imagine he should be Use a line that both for George. Anybody Chevy Ah, declare. So these line is the line X over E. But he's, uh Well, expiry was white. That corresponds to be one. And then for this one, This is we do we're gonna have a part of leather looks down. So something like these there should be should be a parable. But the fact is, that is, it has the same tangent at that point. But, uh uh, X equals three has the same kind of these speak toe. How the same thing, Jim. Same dungeons us Few. One. That's pretty not no, you know, has no. But I just ask you one as the Their function is tough. But is it defined reason to to get this approximations that going through March independence on the corresponding knew it

So you know this function Picks will do one plus X even minus one, huh? You want to find the they were putting on your There you are. Well, you know, the years of the U zero. So this will be just the function of all way. It won't the approximate near a equals You certainly should be the function of all. Await that zero. That is, uh, just one. Does it have one over Spring one. It is one. No. Ah, for their pulling on all the green in close one is gonna be the previous one. So one plus the body did the rookie ZEW times X minus zero. That is X. So there are people dysfunction. This front will be one minus one. Hub six today. Mom 61. How, then this gets lower by one. So that is like putting one here on the bottom. So this would be minus one heart one over one plus x three ops, so you will not be enough. Well, the sub zero is gonna be just minus one, huh? She's gonna be one plus, my is a hub. Ah, This both of square with a horn, which is one not been six. And now for the Taylor polynomial off the to. But his E two is one of the all the previous terms one minus a half bakes 96. Then what? The value off the circle there, people this conscionable with zero on that very by two. So, um, also, this would be about that in that time. Six minus your squared. Somebody sexy squared for this function there. The virility is equal. So we're differentiating are now the ever prime is minus one Hop. This comes down here. So, Thomas, minus three hubs, then this power here gets lowered by one. So that review three hops plus one, that is, Well, this would be fighting we over four times. 1/1 plus x today. My house. So that is the value of this second, they're ready now. The second Iraqi away hurts you. Would you just, um 3/4. Oh, this is terrible. What? I was one ever spoke of wine with one of these. So too, is gonna be one minus six, huh? Last two forts. I'm being very like three or two x squared off. So this would be his number. Here's 3/8 So how does this look like, um, you know here. Very nice. Plain X. Why? Access response. Shin Oh, one plus x two the miners want, huh? Should be something. But this is my most one. Should be something like, uh So let these, um, over disaster, that value. Oh, you should be something like, um or design leader that hide this, uh, one. Is that value? Well, you know. So the thes where is the approximation is just about line. Why equals one, then they the standard line that should be there. Second one, minus six puffs, Um, is why equals one minus six house. I'm being day you. The second the the green approximation. This bully. No, no, she looks something like that. Something like that. No. So this should be the pulling on your one minus six. Accepts. Plus, he eats fix sport. Savary's on our approximations. This is, uh, this pulling on. Nobody's compete to This is the one that line on the being. What they receive on the auction is there regular? This is the Hongshan off your body sort of breaks, but it is so this function

So you have this function fix because miners X when you want to draw the get this a lot, you know you're fully off the and people's zero. So that is the point of the whole big greasier would be just the zero off X. That's gonna be just the center. That zero a equals zero should be the value. It would be the value of the function at zero. No, I didn't. Just the puzzle. So this is just a minor Syria u minus. You know he's one. So this is the fully they reported on the old Museo They want a big green one is also the one X is gonna be the value off the portion of zoo plus the value off the off the functional zero. I'm six my No. Zero. So they believe that they're even dysfunction dysfunction. If Brian there is my house, you could in my no sex show. So this would be or like this one, these are here with me. My No, she didn't. Mineau said my zero, them six. So this is, uh this is about the one liners that is one for six on this one time six on 106 Now, what if they were going on now Off the green and equals to do peace to effects is gonna be so what we have before the function that zero plus the body over the theoretical the function at zero a. M six plus the value of this second about zero because I like to I'm sexy squared. So for dispersion, Uh, the second verity refreshing there appreciating these would have they're developed. These would be minus minus. You get in my car. Six it She's, uh, my house Miner's lettuce plus so e minus X being all these with me just a bad evaluate that zero. So it's gonna be one minor sex, but what we have previously well, plus my zero hops I was exc work on these. He's 1.6. This is one. I was the one house. So last one half x squared. So you have ah, or dinner pulling. Although the zero artillery we don't know you one on our terror. Boitano be too. So you do sketch how this work like to be out here? The x on the Y axis auction. It did hear my sex looks something like these. So where you got those seem pretty is years old. This issue of the minor sex minus X equals y. So they reporting on helping Greece here with just one. That should be this. Remember, it is not every design but is in line. Why was one now? The liner one minus six should be aligned That are at zero is one that has costumes, loba, miners one so should mean oh is nine. But he's over. This local is no. There should be that they are. That's just going again. So far, these pulling a bill should be. But these this is, uh, one minus six 60 square house was what? So it was a great defense Approximations dysfunction There in a portion, you did a minor saves that he's but these time, So those are the constellations.


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