EDB — 1FP

[1FP]Write Taylor’s polynomial of $(1+x{)}^{𝛼}$ with $𝛼\in ℝ⧵\mathbb{N}$. (Infer a generalization of the binomial symbol $(\genfrac{}{}{0ex}{}{𝛼}{k})$). The associated Taylor series is called binomial series, it converges for $|x|<1$.