The two parts of this exercise describe the relationship between little-o and big-O notation. a) Show that

Question:

The two parts of this exercise describe the relationship between little-o and big-O notation.
a) Show that if f (x) and g(x) are functions such that f (x) is o(g(x)), then f (x) is O(g(x)).
b) Show that if f (x) and g(x) are functions such that f (x) is O(g(x)), then it does not necessarily follow that f (x) is o(g(x)).