求极限：lim(x趋于正无穷大) ln(xlnx)/x^a

1.a ≤ 0 时,lim(x->+∞) ln(xlnx) = +∞,lim(x->+∞) x^a = 0+lim(x->+∞) ln(xlnx)/x^a = +∞2.a > 0 时,0 < ln(xlnx) < ln(x*x) < 2 lnxlim(x->+∞) 2lnx / x^a = lim(x->+∞) (2/x) / [a * x^(a-1)] （罗必塔法...