Find the critical numbers, if any, of the function f(x) = 3x5 - 25x3 + 60x + 15 and then use a Maple graph of the function to determine if each critical number defines a local maximum or local minimum of the function or neither. (If an answer does not exist, enter DNE.) smallest value X = ---Select-- x= ---Select-- X = ---Select-- largest value -Select-- X =

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A: We will prove this by definition of limit as follows 

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