EDB — 1FP

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