7. (2 points) Does there exist a pair of functions f and g such that both...

 

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7. (2 points) Does there exist a pair of functions f and g such that both of the following are true simultaneously? VM E (0,), f is not M-far from g. VME (0,), f is M-separated from g. If yes, find such a pair (i.e., define them explicitly with a formula or piecewise definition) and show that they have the required properties. If not, prove it. 7. (2 points) Does there exist a pair of functions f and g such that both of the following are true simultaneously? VM E (0,), f is not M-far from g. VME (0,), f is M-separated from g. If yes, find such a pair (i.e., define them explicitly with a formula or piecewise definition) and show that they have the required properties. If not, prove it.