答：
2/(x^2-1)+1/(x+1)=1
2/(x^2-1)+(x-1)/(x^2-1)=1
(2+x-1)/(x^2-1)=1
(x+1)/(x^2-1)=1
1/(x-1)=1
x-1=1
x=2
经检验,x=2是原分式方程的解