Hello I need help and the steps on how to do these part of the question please , thank you

Problem(1) (15 points) Given the following sequences an = _ - 1 dn Ck , en k=i (a) (2 points) Compute limn-0. en- (b) Find limn-0 an. (c) Find limn-0on (d) Find limn-oo n3 (e) Find limn-oo Togn (f) Find limn-+0o n log n In (g) Find limn-Do In (h) As n - co, which sequence(s) is (are) of O(1)? (i) As n - 0%, which sequence(s) is (are) of O(log n)? (j) As n - co, which sequence(s) is (are) of O(n log n)? (k) As n - 0%, which sequence(s) is (are) of O(n)? (1) As n - , which sequence(s) is (are) of O(n?)? (m) As n - 0%, which sequence(s) is (are) of O(n3)? (n) As n - 0%, which sequence(s) is (are) of O(n)? Problem(2) (10 points) Suppose that a and b are integers, a = 11 (mod 19), and b = 3 (mod 19). Find the integer c with 0