Question 2. Consider the following 7 functions. (1)8n+logn (2)5n logn (3)3n2 +2n +5 (4)3" (5)mn2 2n n 3 (6)(2i + 1) (7) ni (a) For each of the first three functions, prove that they each have a little-o relationship to the successive function. Vlog n i-0 i-0 (b) For each of the last three functions, prove that they are -equivalent to one of the first four functions. Question 2. Consider the following 7 functions. (1)8n+logn (2)5n logn (3)3n2 +2n +5 (4)3" (5)mn2 2n n 3 (6)(2i + 1) (7) ni (a) For each of the first three functions, prove that they each have a little-o relationship to the successive function. Vlog n i-0 i-0 (b) For each of the last three functions, prove that they are -equivalent to one of the first four functions