Question: Question 3 (15 points) Limits and Extrema Given the function f (x) = xel-2x2 : a) Determine lim xel-2* and lim xel-2x (5 points) x-

Question 3 (15 points) Limits and Extrema Given the function f (x) = xel-2x2 : a) Determine lim xel-2* and lim xel-2x (5 points) x- -00 b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required. (10 points)

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