If the equation m(x-1)-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=打错了If the equation m(x-1)-2005-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=
问题描述：
If the equation m(x-1)-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=
打错了
If the equation m(x-1)-2005-n(x-2)for x has infinite roots,then m（的2005次方）+n（的2005次方）=
答
m^(x-1)-n^(x-2)=0→① if m=n=0,m（的2005次方）+n（的2005次方）=0;② if m=n=1,m（的2005次方）+n（的2005次方）=2;③ others:m^(x-1)-n^(x-2)=0 →m-(n/m)^(x-2)=0 →(n/m)^(x-2)=m;in the case of n>m>0,→{lim...