Question

下面这样求极限哪里不对

Answer 1

lim(x->1+) (x^x -1)/(xlnx) (0/0)

=lim(x->1+) (1+lnx)x^x/(1+lnx)

=1

y= x^x

lny = xlnx

(1/y) y' = 1+ lnx

y' =(1+lnx).x^x

x^x 的导数 =(1+lnx).x^x