(Requires calculus) 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)).
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