Ononot — For the generalized binomial series (1+x)^{\alpha} = \sum{n=

Guest Session: 1 Question Remaining. Create Account to save progress.

Power Serieshard

0:00.0

For the generalized binomial series $(1+x)^{\alpha} = \sum_{n=0}^{\infty} \binom{\alpha}{n}x^n$ where $\binom{\alpha}{n} = \frac{\alpha(\alpha-1)(\alpha-2)\cdots(\alpha-n+1)}{n!}$ , what is the radius of convergence when $\alpha = -\frac{1}{2}$ ?