How would you quickly derive the binomial series? Would you have to use Taylor's Theorem/ Taylor Series? And does the Binomial Theorem follow from the binomial series? Are there any applications at all of the binomial series/ Binomial Theorem to special relativity? I know the binomial series is [itex] (x+a)^{v} = \sum_{k=0}^{\infty}\binom{v}{k} x^{k}a^{v-k} [/itex]. [itex] v [/itex] is a real number. But I guess when [itex] v [/itex] is a positive integer [itex] n [/itex] we get [itex] (x+a)^{n} = \sum_{k=0}^{\infty}\binom{n}{k} x^{k}a^{n-k} [/itex]. Why does the series terminate at [itex] n = v [/itex]?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

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# Homework Help: Applications of the Binomial Theorem

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