Question

limx→∞（1-x/3-x）∧2x

Answer 1

limx→∞[(1-x)/(3-x)]^2x

=limx→∞[1+2/(x-3)]^{4[(x-3)/2]+6}

=limx→∞[1+2/(x-3)]^4[(x-3)/2]*=limx→∞[1+2/(x-3)]^6

=e^4*1^6=e^4