State and prove binomial theorem with rational and irrational indices
Added by Luke R.
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The binomial theorem with rational and irrational indices states that for any real number $r$ and any complex numbers $a$ and $b$, the following equation holds: $$(a + b)^r = \sum_{k=0}^{\infty} \binom{r}{k} a^{r-k} b^k$$ where $\binom{r}{k} = Show more…
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