原式= lim (x→1) [ ln (x-1) / (1 / ln x) ].由洛必达法则,原式= lim (x→1) { [ 1/(x-1) ] / [ -1 / x(ln x)^2 ] }= - lim (x→1) [ x (ln x)^2 /(x-1) ]= - lim (x→1) x *lim (x→1) [ (2 ln x /x) /1 ]= -1 *0=...