24. (Review) Evaluate the following improper integral: 2 7( In()): dx NI- b. 24 C. In(2) d. The improper integral diverges 25. (Review) Evaluate the following improper integral: Jf 142 da a. 2/# 191#1 b. C. J d. The improper integral diverges 26. (Review) Evaluate the following improper integral: Jf ze I de a. 0 b. 2e C. d. The improper integral diverges 27. The series _ ()" converges with a) EG) =1 1=0 b) E () =2 n=0 1=0 d) None of the above 28. A drug is administered into the body. At the end of each hour, the amount of drug present is half what it was at the end of the previous hour. What fraction of the original amount of the drug is present at the end of n hours? a. () b. 2n c. 1 - ()" d. 1 - 27 e. None of the above 29. Determine the sum of the series 2 + } + + + ... a. b. C. d. e. None of the above 30. Find the value of a for which the series _ . converges. (Hint: When does a geometric series converge?) a. -3