22 июн. 2018 г. · 1/(1-x)^2=1+2x+3x^2+... We are given f(x)=1/(1-x)^2 This is fairly similar to 1/(1-x), for which we know a power series: 1/(1-x) = 1+x+x^2+.

Продолжительность: 7:11
Опубликовано: 3 июл. 2019 г.

27 апр. 2017 г. · Use differentiation to find a power series representation for f (x) = 1/(1 + x)^2. What is the radius of convergence?

Продолжительность: 4:11
Опубликовано: 8 апр. 2021 г.

3 апр. 2015 г. · First, note that 1(1+x)2=(1+x)−2=ddx(−(1+x)−1)=ddx(−11−(−x)) . Now use the power series expansion 11−x=1+x+x2+x3+⋯ , which converges for ...

Продолжительность: 11:37
Опубликовано: 29 мар. 2021 г.

14 мар. 2021 г. · The question is to use differentiation to find the representative power series of 1/(x+1)2. I could easily see that the derivative of −1/(x+1) is 1/(x+1)2. use differentiation to find a power series representation for 1/(3 ... Using differentiation to find a power series representation. Другие результаты с сайта math.stackexchange.com

15 июл. 2023 г. · Use differentiation to find a power series representation for f(x) = 1/(1+x)^2. What is the radius of convergence? Find a power series ...

8 янв. 2021 г. · The goal is to use differentiation to get the left side of this equation to match exactly the function we've been given.

4 дек. 2020 г. · Use differentiation to find a power series representation for 1 f(x) (9 + x)2 f(x) = n = 0 -Ě ( What is the radius of convergence, R? R= X