Please show the ideal way to deal with such comparisons as I am getting g>=f IN genral what logic shall be followed to analyse such complex comparions?

What will be the worst case time complexity for the following code segment? int count=0,N; for(i=0;i<N*2;i++){ for(j=0;j<i/3;i++){ for(k=0;k<j*j;k++){ count++; } } } Options: O(N^4) O(N^3) O(N^2) O(N)

cant we write the recurrance relation for bar() as T(n) = 5T(n-1) + c, like cant we take both the recurrance call as combined as both have same parameter? and if not, then how to solve such?