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 no as used in the definitions of big-O, Q and O. a) 7n3 +3n2 2n+100 is O(n). b) 27n7 +17 n log n+2020 is O(n) c) n3 -2n+100 is O(n?). d) log2 n is O(log16 n) e) 2nta is O(n), for a being a positive constant f) (n + 1)/(n + 1) is O(n). g) n is O(100n?). h) E=1k is O(n) i) log(2" n ) is O(n) j) (2n+8)log(n!) is O(nlog(n))