what is lim as x approaches 1 for ln(ln x)/lnx ?
actually, the numerator only approaches as from the right...
you are correct, but probably not for the reason you think you are. the problem is, as from the left, is negative, and so would be undefined. As the logarithm function is only defined when its argument is positive.
So since the numerator is undefined as we approach 1 from the left, the entire function is undefined there, and so the limit does not exist for that reason.
Now, does exist. That should be fun for you to find (but not that difficult--honest)
I am not sure if this make sense. now I know that as x approchase 1 from the right ln(x)= negitive infinity.. so as x approchase to 1 from the right ln(ln(x))/ln(x)= ln(negitive infinity)/negitive infinity.. so now the numerator undifined and the denominator equal to negitive infinity
This all I know
um, yeah. i never thought of -1*1 though... i guess i thought, a negative number times a positive number gives a negative number, and a huge number times a huge number gives a huge number. and so, a huge negative number times a huge positive number will give a huge negative number. or something like that but yeah, your idea seems to work also