Find the Taylor series of f(x)=12−xf(x) = \frac{1}{2-x}f(x)=2−x1 centered at a=0a=0a=0.
∑xn2n+1\sum \frac{x^n}{2^{n+1}}∑2n+1xn
∑xn2n\sum \frac{x^n}{2^n}∑2nxn
∑xn2n−1\sum \frac{x^n}{2^{n-1}}∑2n−1xn
∑xn2\sum \frac{x^n}{2}∑2xn