(2) Find the limits. 1 a) [10 pts] lim n2 n-+0o n2 + cos n Vn2 + n b) [8 pts] lim 87 - 3" cos (en) 2n 4n + 2n 8 (3) [24 pts] A sequence {an}0 is given by a1 = 3 and an -6 - an-1 for n > 2. (a) Use mathematical induction to prove that 0