I am in first year university so please keep answers to that level, thanks

Question 3 (15 points) Limits and Extrema Given the function f (x) = xel-2x2 . a Determine lim xe2* and lim xel-2x (5 points) 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)