若分式m+2/m-1的值是整数,试求m的整数值.
(m+2)/(m-1)=[(m-1)+3]/(m-1)=1+[3/(m-1)]的值是整数→
3/(m-1)的值是整数→m-1=±1或±3,∴m=2或0或4或-2