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Опубликовано: 13 окт. 2015 г.

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Опубликовано: 2 окт. 2022 г.

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6 нояб. 2019 г. · I am reading an example in which the author is finding the power series representation of ln(1+x). Here is the parts related to the question. taylor series of $\ln(1+x)$? - Mathematics Stack Exchange ln(1+x)$ -- why does its power series converge for $|x| < 1 Другие результаты с сайта math.stackexchange.com

8 дек. 2015 г. · The Taylor series for ln(1-x) at c=0 is -x-x^2/2-x^3/3-x^4/4-cdots and has a radius of convergence equal to 1. Letting f(x)=ln(1-x), ...

27 апр. 2020 г. · Question: (a) Express the function f(x) = ln(1-x/3) as a power series. (b) What is R, the radius of convergence, for this power series?

We can obtain the Maclaurin series expansion for f ( x ) = ln ⁡ ( 1 + x 3 ) by using substitution. Using the fact that ln ⁡ ( 1 + x ) = ∑ n = 1 ∞ ( − 1 ) n ...

19 мая 2010 г. · The MacLaurin series for f(x)=ln|1+x^3| is derived by using the Taylor series formula and finding the derivatives of the function at x=0. This ...

31 мар. 2023 г. · ln(1−x)=−∑k=1∞kxk for −1≤x<1. Select the interval of convergence for the power series of ln(1−x3). (−1,1]. student submitted image ...