i'm having a lot of trouble with these two problems.

the first one is tough, and i don't know how to do it, i just know the answer is supposed to be 1/2:

lim ((1/ln x) - (1/(1-x))

x --> 1

i found the derivatives of both and got:

((-1/(x ln x ^2) - ((1)/(x-1)^2)

but i don't know if that's what i'm supposed to do

and for the second one, i don't even know where to start:

lim (1 + (a/x)) ^ bx

x --> infinity

please....help. these are the last two of my homework problems and they're killing me!