If LIM (x tends to 1) [(x ^ 3) + kx-2] / (x-1) is a finite value, then k =? As well as the idea of solving the problem to the idea sheet to 50

If LIM (x tends to 1) [(x ^ 3) + kx-2] / (x-1) is a finite value, then k =? As well as the idea of solving the problem to the idea sheet to 50

LIM (x → 1) [x & # 179; + kx-2] / (x-1) has a limit value, which shows that X & # 179; + kx-2 can be divided by X-1, X & # 179; + kx-2 = (X & # 179; - 1) + kx-1, where X & # 179; - 1 can be divided by X-1, if kx-1 can be divided by X-1, then K can only be equal to 1
lim(X→1)[x³+kx-2]/(x-1)=lim(X→1) x²+x+2=4