2. (6 points) Determine the radius of convergence and the interval of convergence for the following power series. If the interval has endpoints, don't forget to check those too. [ ( ) ( 2 + 2 ) 6 k=1 3. (4 points) In this question, we will find the degree n Taylor polynomial for the function f(x) = In(1+x) centered at 1. (a) Find f(1), f'(1), f"(1), f(3)(1), and f(k)(1) where k is any positive integer. (b) Find the degree n Taylor polynomial for f(x) = In(1 + x) centered at 1. Write your answer in . .. notation. (Write down at least the first three terms + . ..+ the last term.)