Question: In the class we have seen three equivalent definitions for f(n)=O(g(n)). The first of these was: f(n)=O(g(n)) if and only if there is some constant

 In the class we have seen three equivalent definitions for f(n)=O(g(n)).

In the class we have seen three equivalent definitions for f(n)=O(g(n)). The first of these was: f(n)=O(g(n)) if and only if there is some constant C>0 as well as a positive integer threshold n0 such that for every n>n0 we have f(n)0, the above condition is equivalent to: f(n)=O(g(n)) if and only if there is some constant C>0 such that for every n>0 we have f(n)0," then () is not equivalent with (). For this you need to give an example for f and g (however pathologic it is), where (*) holds but (**) does not

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!