2 янв. 2018 г. · The binomial expansion for (1+x)^-1 is just 1 1 , and there are no additional terms beyond the constant term 1 1 . What is the expansion of (1-x) ^-1? Why is the binomial theorem not valid for (1+x) ^n when Другие результаты с сайта www.quora.com

2 мар. 2017 г. · The answer is =1-x+x^2-x^3+x^4+.... The binomial series is (1+y)^n=sum_(k=0)^(oo)((n),(k))y^k =1+ny+(n(n-1))/(2!)y^2+(n(n-1)(n-2))/(3!)y^3+.

7 мар. 2023 г. · Binomial expansion for this is followed the same way as expanding larger power expansions So (1+x)^-1 = 1 + (-1)x + (-1)(-1–1)/2! x^2 + (-1)(-1–1)(-1–2)/3

Expansion is valid only when –1 <x <1. General term of the series (1+x)-n = Tr+1 = (-1)r Binomial theorem formula xr. General term of the series (1-x)-n = Tr+1 ...

30 июн. 2015 г. · Well, using the formula that DiMath suggested occurs that (1−x)1n=∑k≥0(1nk)(−x)k=∑k≥0(−1)k(1nk)xk. Now we have to compute (−1)k(1nk). Binomial expansion of $(1-x)^n$ - Mathematics Stack Exchange Series expansion: 1/(1−x)n - Mathematics Stack Exchange Don't understand why this binomial expansion is not valid for x ... Algebraic expansion of $(1+x)^{1/x}$ is? - Math Stack Exchange Другие результаты с сайта math.stackexchange.com

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Опубликовано: 7 апр. 2023 г.

Binomial expansion is to expand and write the terms which are equal to the natural number exponent of the sum or difference of two terms. For two terms x and y ...

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. Binomial (polynomial) · Binomial approximation · Falling and rising factorials

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Опубликовано: 4 июн. 2022 г.