LIM (x →∞) [(x ^ 2-2x + 1) / (x + 1) is the denominator divided by X or x ^ 2 If you want to solve this problem, do you want to divide the numerator and denominator by the highest order X of the denominator or by the highest order x ^ 2 of the numerator and denominator,

LIM (x →∞) [(x ^ 2-2x + 1) / (x + 1) is the denominator divided by X or x ^ 2 If you want to solve this problem, do you want to divide the numerator and denominator by the highest order X of the denominator or by the highest order x ^ 2 of the numerator and denominator,

This problem does not need the same division. The same division is the highest order in the division numerator and denominator, that is, regardless of the numerator and denominator, in short, the highest order LIM (x →∞) (x ^ 2-2x + 1) / (x + 1) = LIM (x →∞) (x ^ 2 + x-3x-3 + 3 + 1) / (x + 1) = LIM (x →∞) (x ^ 2 + x-3x-3 + 3 + 1) / (x + 1) = LIM (x →∞) (x-3 + 4 / (x + 1)) = + ∞ + 0 = + ∞