Which is the Maclaurin series for f(x)=11−xf(x) = \frac{1}{\sqrt{1-x}}f(x)=1−x1?
∑n=0∞(−1/2n)(−x)n\sum_{n=0}^{\infty} \binom{-1/2}{n} (-x)^n∑n=0∞(n−1/2)(−x)n
∑n=0∞(2n)!4n(n!)2xn\sum_{n=0}^{\infty} \frac{(2n)!}{4^n (n!)^2} x^n∑n=0∞4n(n!)2(2n)!xn
∑n=0∞(−1)n(2nn)xn4n\sum_{n=0}^{\infty} (-1)^n \binom{2n}{n} \frac{x^n}{4^n}∑n=0∞(−1)n(n2n)4nxn
∑n=0∞(2n−1)!!2nn!xn\sum_{n=0}^{\infty} \frac{(2n-1)!!}{2^n n!} x^n∑n=0∞2nn!(2n−1)!!xn