Compare two functions n^{2 }and 2^{n} /4 for distinct values of n. Determine
When second function becomes larger than first function.
N
n2
2n/4
1
2
3
4
5
6
7
8
9
10
16
25
36
49
64
81
100
0.5
32
128
256
When n=8, then the value of n^{2} and 2^{n}/4 is same. Before that n^{2} >2^{n}/4, and after this value n^{2}< 2^{n}/4.