Question 3 (15 points) Limits and Extrema Given the function f (x) = xel-2x2 : a) Determine lim xel-2x and lim xel-2.x (5 points) X->-90 X->90 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)