Question Number 102034 by Study last updated on 06/Jul/20

lim_(x→2) ((((2x+4))^(1/3) −2)/(x^2 −x−2))=?

Answered by Dwaipayan Shikari last updated on 06/Jul/20

lim_(x→2) ((((2x+4))^(1/3) −2)/(2x+4−8)).((2x−4)/((x−2)(x+1)))=(1/3)8^((−2)/3) .(2/3)=(1/(18)) {(((2x+3)^(1/3) −(8)^(1/3) )/(2x+4−8))=(1/3)8^(−(2/3)) or you can useL hospital

Commented byStudy last updated on 06/Jul/20

what is the furmollah?

Answered by bemath last updated on 06/Jul/20

lim_(x→2) (1/((x+1))) .lim_(x→2) ((((2x+4))^(1/3) −2)/(x−2)) = (1/3).lim_(x→2) (2/(3 (((2x+4)^2 ))^(1/3) )) = (2/(9×4)) = (1/(18))