Ok so i have these 2 problems. The first i can get the answer in the book except for the $\displaystyle ln(5)$ part. The Second i'm not sure how to even start. So if you could help me figure out the first and just get me started on the second that would be great ^.^

Directions: Find the power series representation for the function and determine the radius of convergence.

1. $\displaystyle f(x)=ln(5-x)$

Answer: $\displaystyle ln(5)-\sum^{\infty}_{n=1}\frac{x^n}{n5^n}$

2. $\displaystyle f(x)=\frac{x^3}{(x-2)^2}$

Answer:$\displaystyle \sum^{\infty}_{n=3}\frac{n-2}{2^{n-1}}x^n$

Thank you