lim(x->-8) [√(1-x) -3]/ [2+ x^(1/3) ]
=lim(x->-8) [(1-x) -9]/ { [2+ x^(1/3) ] . [√(1-x) +3] }
=lim(x->-8) -(x+8)/ { [2+ x^(1/3) ] . [√(1-x) +3] }
=(1/6)lim(x->-8) -(x+8)/ [2+ x^(1/3) ]
=(1/6)lim(x->-8) -[x^(1/3)+2] .[ x^(2/3) -2x^(1/3) + 4 ]/ [2+ x^(1/3) ]
=(1/6)lim(x->-8) -[ x^(2/3) -2x^(1/3) + 4 ]
=(1/6)lim(x->-8) -[ 4 +4 + 4 ]
=-12/6
=-2