Problem 1 (12 points) Find the limit of the following sequences, and state any theorems you used. (a) (3 points) an = In(2n -1) - In(n + 1), n=1,2, 3, ... (b) (3 points) an = 3n cos(2) n = 1, 2, 3, .. . 2n + 1 (c) (3 points) an = Van + 7", n =1,2,3, ... (Hint: factor out 7") (d) (3 points) an = V3, V3V/3, 3\\3V/3, ... , n =1,2,3