Tentukan nilai limit fungsi berikut,untuk x --> tak hingga (tolong pake cara panjang/biasa)

Lim 4x^3 - 2x + 1
x→~ .. / 3x² - x - 1

Lim 4 - 2/x² + 1/x^3
x→~ .. / 3/x - 1/x² - 1/x^3

= 4 - 0 + 0 / 0 - 0 - 0

= 4 / 0

= ~

lim x-->~ (4x³-2x+1)/(3x²-x-1) * (1/x³)/(1/x³)
= lim x-->~ (4x³/x³ -2x/x³ +1/x³)/(3x²/x³ -x/x³ -1/x³)
= lim x-->~ (4-2/x²+1/x³)/(3/x-1/x²-1/x³)
= (4-2/~² +1/~³)/(3/~-1/~²-1/~³)
= (4-0-0)/(0-0-0)
= 4/0
= tak hingga