Show all work and include appropriate explanations when necessary. Instructions. without accompanying work may not receive full credit. Please try to do all all work in the space provided and circle your nal answer: (15pts) evaluate the following limits using l"h opital"s rule. Note, the correct answer may be . (a) (5pts) lim x 0 ln (1 + x) x (b) (5pts) lim x . 3 x ln x (c) (5pts) lim x 0 tan x x x3: (12pts) evaluate the following improper integrals. Write divergent" if the integral diverges. (a) (6pts) z . 1: (8pts) consider the sequence with rst ve terms given by a1 = Immediately after the shot, the patient"s blood is tested to see how much of the medication is in her bloodstream. 5 of the previous day"s observed amount of medicine remains in the patient"s bloodstream. So, after the rst shot the patient is found to have 30mg of medication in their bloodstream.
