上下同除以x^9得:lim(x→∞)(2+1/x)^5*(3-5/x)^4/(2-3/x)^9
因为x→∞,所以1/x→0,-5/x→0,-3/x→0,所以原式=
lim(x→∞)2^5*3^4/2^9=3^4/2^4=81/16