I am in 1st year university, please keep answers to that level. Thanks

Question 3 (15 points) Limits and Extrema . . % .2 Given the function f(x) : x eI 2\" : (1) Determine lim new": and lim xem') (5 points) ,1' >-0'R x )l'i 1)) 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. (Ipoints) Question 4 (15 points) Optimisation Assume that it costs Sony approximately C (x) = 800, 000+340x+ 0.0005):2 dollars to manufacture 3: PlayStation 4's in an hour. a) How many PlayStations should be manufactured each hour to minimize the average cost? Justify your answer. (12 points) b) Determine the minimum average cost. Justify your answer (3 points) A detailed procedure including a table summarizing the variation study of the function is required. Note that the graph of the function is not required. Question 5 (5 points) k If $25,000 is invested in a savings account offering 3.25% per annum, compounded monthly. How fast is the balance growing, to the nearest dollar, two years later