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lim(x->0) { 2/[3x^(1/3)] } . { 1/[1+x^(2/3)] -1 }
=-(2/3)lim(x->0) [ 1/x^(1/3) ] . { 1- 1/[1+x^(2/3)] }
=-(2/3)lim(x->0) [ 1/x^(1/3) ] . { x^(2/3)/[1+x^(2/3)] }
=-(2/3)lim(x->0) x^(1/3)/[1+x^(2/3)]
=-(2/3) [ 0/(1+0)]
=0
=-(2/3)lim(x->0) [ 1/x^(1/3) ] . { 1- 1/[1+x^(2/3)] }
=-(2/3)lim(x->0) [ 1/x^(1/3) ] . { x^(2/3)/[1+x^(2/3)] }
=-(2/3)lim(x->0) x^(1/3)/[1+x^(2/3)]
=-(2/3) [ 0/(1+0)]
=0
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