well the answer is -e/2, but I can't seem to get the answer...mostly due the fact that there is a 1/x power on the 1+x polynomial and how to implement it with
To get the derivative of :
So the limit becomes:
Now show that .
Multiple applications of l'Hospital's rule is one possible approach.
Another approach is to substitute the series expansion for ln (1 + x): . This substitution is valid since the series converges for and ......