(x^3-1)/(x^2-1)<1
热心网友
(x^3-1)/(x^2-1)<1 所以(x-1)(x^2+x+1)/(x+1)(x-1)＜1(x^2+x+1)/(x+1)＜1x^2/(x+1)＜0x+1＜0x＜-1
热心网友
先将式(x^3-1)/(x^2-1)-1时，式子可变为x^2+x+1 先将式(x^3-1)/(x^2-1)-1时，式子可变为x^2+x+1热心网友
(x^3-1)/(x^2-1)<1
(x^3-1)/(x^2-1)<1 所以(x-1)(x^2+x+1)/(x+1)(x-1)＜1(x^2+x+1)/(x+1)＜1x^2/(x+1)＜0x+1＜0x＜-1
先将式(x^3-1)/(x^2-1)-1时，式子可变为x^2+x+1 先将式(x^3-1)/(x^2-1)-1时，式子可变为x^2+x+1热心网友