The expansion of the negative binomial series is given below.
$$ (x+a)^{-n} = \sum^\infty_{k=0} (-1)^k \begin{pmatrix}n + k - 1\\k\end{pmatrix} x^ka^{-n-k} $$ when $|x| < a$.
What would be the expansion of $b^{(x+a)^{-n}}$ where $0 \le b \le 1$?
The expansion of the negative binomial series is given below.
$$ (x+a)^{-n} = \sum^\infty_{k=0} (-1)^k \begin{pmatrix}n + k - 1\\k\end{pmatrix} x^ka^{-n-k} $$ when $|x| < a$.
What would be the expansion of $b^{(x+a)^{-n}}$ where $0 \le b \le 1$?
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