Read the problems carefully and answer the questions asked. Write neatly and indicate clearly your answer to each problem. The backs of the sheets may be used for scratch paper or to continue your work on a problem. All problems count equally and you are to do all ten problems. You must show your work to obtain full credit. Points may be deducted if you do not justify your nal answer. Calculators, notes, books, or collaboration with others are not allowed. Include the units. : evaluate the integrals (i) (ii) (iii) 4x + 5 x2 + x 2 dx: determine whether or not the limit exists. If the limit exists nd it, and indicate clearly how you obtained your answer. If the limit does not exist give reasons why. (i) (ii) (1 + 3x + 5x2)1/x lim x 0 lim x /4 (1 tan x) sec 2x: determine whether each integral is convergent or divergent.
