Note: Give exact answers where possible (for example, I is exact but 3.142 is approximate). 1. [9 marks] Determine whether the sequence converges or diverges. If it converges, find the limit. a. (3 marks) 4n2 an = 1 - n2 b. (3 marks) bn = 1+ cosnn 1+(-5)n c. (3 marks) (3n)! an = (3n + 3)! 2. [8 marks] Write the number 22.563 as a ratio of integers in lowest terms. 3. [15 marks] Determine whether the series is convergent or divergent. If it is convergent, find the sum. a. (5 marks) 7n n=1 b. (5 marks) 772 n=1 c. (5 marks) 1 n2 - 3n + 2 72=3