将函数f(x)=(x-1)/(x^2-2x-3)在X=1处展开为幂级数

问题描述:

将函数f(x)=(x-1)/(x^2-2x-3)在X=1处展开为幂级数

将f(x)分f(x)=2[1/(x-3)+1/(x+1)]=2[-1/3*1/(1-x/3)+1/(1-(-x))]=-2/3求和(-x/3)^n+2求和(-x)^n