calculate-the-value-of-each-of-the-given-functions-use-the-indicated-number-of-terms-of-the-appro-41

Question

Calculate the value of each of the given functions.
Use the indicated number of terms of the appropriate series. Compare with the value found directly on a calculator.
$$e$$ (7)

Tyler Moulton · Accepted Answer

right. We want to calculate the value of E. The numerical constant using a series expansion with an equal seven terms. This question is challenging our ability to apply series in particular. Its challenge our ability to apply series expansions to estimate the value of function of a point. Remember that we can use the MacLaurin series to estimate a function. The five MacLaurin series that we&#x27;ve learned as common uses are A through E. Here, E. G. Exercising exco sex, natural organism of one of the classics and one for six p.m. In this problem, we clearly need to use a where X is equal to one. So for seven terms we&#x27;re gonna have one plus X plus X squared over two factorial. Excuse over three factorial. All the way up to expand seven factorial. Thus we have even the first equals one plus one plus one half +16 plus 1 24 plus 1/20. Or rather one plus 1/1 20 plus. 1/7 20 producing value 200.2 point +71805 Which is very close to the calculated value. 2.718 to 8.

Rakesh Kumar Sharma · Answer

this question, because you eat is to bark me into one plus game. It&#x27;s forever effectively. Who have you been factored into less also. Okay, the first part of the question we have to find we have to find out about you. What is your sore? Using the first eight to eat is too far because one plus, but this one&#x27;s a factory to Yes. What you doing around three 14 Perfect with before last one fired by a factor of five less, Mr Voss Six. The only voice exclusives. Plus, when this process and if we can hear this reduce of this will use coming up to be approximately important sound one you frightful. Okay. And if you can&#x27;t let the value us use a calculator, they&#x27;re just coming off your post. Give 2.718 Do we? It is not for that park pushing partly since you find out that you have even strip operating system using easy you just a problem like this money, baby. Actually, you just want my Mr Three Week the video that you won this one less Mr. Mr Barton Factory to minus it is less brilliantly less like this one Mr Love for effect with before. Yeah, Yeah. When this one. This to fight. Fight ls minus one mission for six. Factory six. This minus one. Just before seven. Factory was sound. And approximately, if you can live up to its coming open. 0.36 Soviets 57 Anything. I believe that many of Mr Part by this one using that here too, So that you know, it was me since so really it something. Okay, these are used. So this is an issue.

Ankit Gupta · Answer

we are going to as to me the value of eight days to pay using the given sequence. That&#x27;s one plus a plus. A square point off, actually a plus a Cuba 10.0.3 factorial class. This goes on first we have to find the value off E, which means a equals one. So eight times are Toby phone. So we died. One plus one plus one about two factory and plus one about three. Factory in plus one upon four Factory in on this under one of 17 factory that gives us a Don&#x27;t Andi. Once calculated using a calculator, get the value of E approximately as 2.718 to 54 Now we&#x27;ll find e days to minus one where equals minus one. So one minus one plus one upon two factorial. This is gonna be minus one upon three. Factory plus one upon four factorial minus one upon by factory plus one upon textract O&#x27;Ryan minus 1.7 factorial. Once we can clean this using a calculator, of course, we get the value as 0.3678 57 which is approximately close us. Well, toe the actual value and then we find Drew. Evil Able Week will do. Half this will be approximately calculated as one plus half, plus half square upon two factorial because half cube upon three factory in just half raise to four upon full factory and this goes on, tell half threes to seven upon seven factorial. Once we&#x27;re done with the calculations again, we get the value as 1.6487 to 1.

Linh Vu · Answer

Siris on the farm. Even I&#x27;m gonna skate. Thanks from surge Infinite day. Every money fighters on a little We get any cocina in I&#x27;m the minus X, uh, and then have about going outside. So it isn&#x27;t will be, uh, geometric series. And then we convert you the 1/1 minus Babel Minus thanks and doesn&#x27;t reveal it. Fond, even minus thanks. I&#x27;m sort of earlier this morning, Dan one. And we know that able minus Thanks. Fun that everybody. Everybody smarter than one. Even. Only if that able minus next baby through the minus one And the one. And it would be even only if not thanks. Yeah, it will be greater Eagle Do discredit and zero and left when we found the function Done This reconvert you on the interval conversions

Linh Vu · Answer

by the problem for 43 we have a sigh in verse Off Thanks. We go to Thanks. Blessed submission under and we got you One day Quantum street names fight him up to the two em And this one be running by Children&#x27;s phoned him six times after that. You and next boat two m This one divine by your embrace one. So here, want to estimate this Cy Inverse? I&#x27;m the 1/2 using the first find home five times. So the first time would be Cy inverse of 1/2 purse money. You going to do half blessed the first time? We&#x27;re any good. You won, and then we got one. Do you finding by Jew and don&#x27;t have 1/2 uh, one. Here we end. Uh ah. Thanks. Both three. Then remember, tree. And now this will be, ah, one times three. I would do in terms of, uh and now the next time will be one on one with two. I went in. And did you have five? And they&#x27;re running by five. Yes. First time. Second term tucked him in the fourth time will be treated as fine. So be five on DDE. Jeweled him&#x27;s time. Six times. 1/2 hour, seven a wedding by seven The father and the rest um, Cherry Tums. Find him seven, Divided by Jordan&#x27;s. Found him six times eight and times. When I&#x27;m with you about nine. They&#x27;re running by night. So in we do this calculation here, we should get a code Joe their bun. 5235 Job find 235 eight Find 19 on this one When it come badges in this and a true guru to warn you I&#x27;m this eye goes I&#x27;m the 1/2 gruesome gap The butt on 1/2 hand We could you right? Almost six. So by six will be you go to 01523598 775 So it would be to up to the 18. It doesn&#x27;t really the era here

Ernest Castorena · Answer

They asked us to evaluate the natural log of one over E to the seventh. And while that&#x27;s the same thing is asking that he to the White Party gives us the result one over E to the seventh. Let&#x27;s just the negative seven card, so it&#x27;s negative some.

Problem

Calculate the value of each of the given function…

Problem 7 Easy Difficulty

Calculate the value of each of the given functions.
Use the indicated number of terms of the appropriate series. Compare with the value found directly on a calculator.
$$e$$ (7)

Answer

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