limx→∞ [(x+1)/(x-2)]^x/2=limx→∞ [1+ 3/(x-2)]^(x-2)/3 * 3x/2(x-2)那么在x→∞的时候，[1+ 3/(x-2)]^(x-2)/3趋于e，而3x/2(x-2)趋于3/2所以原极限= e^ (3/2)
