Question: Question #4 (6 marks) Consider the function f (x) = xe-x. a) Determine lim f (x) = and lim f (x) = x->+00 X--00 What

 Question #4 (6 marks) Consider the function f (x) = xe-x.

a) Determine lim f (x) = and lim f (x) = x->+00

Question #4 (6 marks) Consider the function f (x) = xe-x. a) Determine lim f (x) = and lim f (x) = x->+00 X--00 What do these two limits tell you about the asymptotic behaviour of this function? b) Find all critical values of the function, then test them to determine if they are local minima, local maxima, or neither. Show your work

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