Question: Consider the relation R on the set of functions defined by (f,g) R if and only if f(x) is O(g(x)). (a) Show that R

Consider the relation R on the set of functions defined by (f,g) R if and only if f(x) is O(g(x)). (a) Show

Consider the relation R on the set of functions defined by (f,g) R if and only if f(x) is O(g(x)). (a) Show that R is transitive. (b) Show that R is reflexive. (c) Is R symmetric? Either prove that it is, or find two functions f and g so that (f, g) = R but (g, f) & R.

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