求(x·x+lnx)/(x·lnx)的极限 x→∞ lim(x→∞)(x^2+lnx)/(x·lnx) (用洛必达法则) =lim(x→∞)(2x+1/x)/(lnx+1) =lim(x→∞)2x/lnx (用洛必达法则) =lim(x→∞)2x =∞