5 Questions of Calculus I - Exam 4 | MATH 141, Exams of Calculus

Download 5 Questions of Calculus I - Exam 4 | MATH 141 and more Exams Calculus in PDF only on Docsity! MATH 141 EXAM #4 Dec., 3, 1997 Dr. Warner PLEASE READ THESE INSTRUCTIONS FIRST: 1. Write your name, your teaching assistant's name and your section number on each answer sheet. 2. Number the answer sheets from 1 to 5. Do all of your work for problem 1 on the sheet numbered 1, and so on for problems 2,3,4,5. If you need to use the back of a sheet, write "See back of sheet" 3. SHOW YOUR WORK. Incomplete solutions may receive partial credit if we can understand what you have done. Correct answers may not receive credit if intermediate steps are not shown. [24] 1. (a) Calculate lim l - - k -> oo 3n (b) Calculate lim ^-n! n -» oo (c) Determine p,-(x) (the 5 Taylor polynomial of f about 0) o v for f(x) = xe . [36] 2. Determine which of the following series converge and which diverge. State which test, you use. f •> \~* 1 /!_•> \~* sin TT n(a) > ————— (b) > ———^— 0 Vn In n . nn = 2 n = 1 00 Z o11 -1 X~» „i , , , \ , -n———— (dj > n! e 1 *n ^1n = 1 n = 1 CONTINUED ON BACK