Could somebody help me with this problem?

Find the Taylor polynomials the 2nd Taylor polynomial $\displaystyle \begin{aligned} T_{f,0}^{(2)} (x)\end{aligned}$ around 0 for the following function

f(x) = (1)/(1+x)

and this nasty question...

Using l'Hoptal's rule...

lim (x->infin) [((cos) (a/x))^x^2] where a>0

lim (x->0) [((log(1+ax))/x) where a>0