Question 2. [10 points ] Decide if each of the following stataments is true or false and give a proof. You need to identify the values for the constants c and ng as used in the definitions of big-o, and O. f) (n2 + 1)(n+1) is O(n). g) nis O(100n? h) un, k3 is (n) i) log("n) is O(n) j) (2n+8)log(n) is (nlog(n)) Question 2. [10 points ] Decide if each of the following stataments is true or false and give a proof. You need to identify the values for the constants c and ng as used in the definitions of big-o, and O. f) (n2 + 1)(n+1) is O(n). g) nis O(100n? h) un, k3 is (n) i) log("n) is O(n) j) (2n+8)log(n) is (nlog(n))