求x^10/(1-x)在x=0处的幂级数展开式,x^10不展开吗?

Question

求x^10/(1-x)在x=0处的幂级数展开式,x^10不展开吗?

Answer 1

x^10本身就是
1/(1-x)=∑(0,+∞)x^n
10/(1-x)=∑(0,+∞)x^(n+10)