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lim-x-2-x-2-1-3-x-2-

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Question Number 116756 by bemath last updated on 06/Oct/20
lim_(x→2) (((x−2))^(1/(3 )) /(x−2)) =?
limx→2x−23x−2=?
Answered by bobhans last updated on 06/Oct/20
lim_(x→2) (((x−2))^(1/(3 )) /(x−2))= lim_(x→2) (1/( (((x−2)^2 ))^(1/3) )) = ∞
limx→2x−23x−2=limx→21(x−2)23=∞
Answered by Bird last updated on 07/Oct/20
=lim_(x→2) (^3 (√((x−2)/((x−2)^3 )))) =lim_(x→2) (^3 (√(1/((x−2)^2 ))))=+∞
=limx→2(3x−2(x−2)3)=limx→2(31(x−2)2)=+∞

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