Question Number 148600 by EDWIN88 last updated on 29/Jul/21

lim_(x→−∞) ((27x^3 −3x^2 ))^(1/3) +((8x^3 −x^2 ))^(1/3) −((x^3 −4x^2 +2021))^(1/3) =?

Answered by bemath last updated on 29/Jul/21

lim_(x→−∞) −((27))^(1/3) (x−(3/(3×27)))−(8)^(1/3) (x−(1/(3×8)))+(1)^(1/3) (x−(4/(3×1))) =lim_(x→−∞) (−3x+(1/9))−(2x−(1/(12)))+(x−(4/3))=+∞