Show that x3 is O(x4) but that x4 is not O(x3).

SolutionStep 1Let us assume that x > 1 then >So, the first term that is will influence.Then, instead of we can write as .Because will grow as slow as Hence, Where n = 4, C = 1 and k = 1So the growth of the function is O().Hence, it is proved that has...