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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)

Calculus 2 / BC

Chapter 30

Expansion of Functions in Series

Section 4

Computations by Use of Series Expansions

Series

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University of Michigan - Ann Arbor

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:52

The series $$e^{a} \approx…

02:11

Solve each problem. The se…

01:10

Series to functions Find t…

03:19

Use the first five terms o…

00:16

Evaluate each expression w…

00:08

00:24

Evaluate each finite serie…

02:19

Evaluate each series to th…

00:34

Evaluate each series.$…

01:19

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'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'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.

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In mathematics, integration is one of the two main operations in calculus, w…

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The series $$e^{a} \approx 1+a+\frac{a^{2}}{2 !}+\frac{a^{3}}{3 !}+\cdots+\f…

Solve each problem. The series $$e^{a} \approx 1+a+\frac{a^{2}}{2 !}+\frac{a…

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Evaluate each expression without using a calculator.$$\ln \frac{1}{e…

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