M231SP24_Exam3-BlankTemplate (2)

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School

University of Illinois, Urbana Champaign *

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Course

231

Subject

Mathematics

Date

May 7, 2024

Type

pdf

Pages

9

Uploaded by ChiefButterfly4386 on coursehero.com

BLANK TEMPLATE Math 231 Spring 2024 Exam 3 Blank Template Monday, April 1: 7 – 8:20 PM Name (printed clearly): UIN (9 digits): Lecture Section (AL*): Directions: ▷ Do not open the exam booklet until you are told to begin the exam. ◁ • Put away everything except a writing utensil. This includes cell phones and electronic devices (they must be turned off prior to the start of the exam). If you are seen using these devices during the exam, it will be construed as cheating and you will be asked to leave. Your book bags should be closed and should not be opened at any time during the exam. All books, notes, and other such items must be put away and out of sight. Please remove all hats and sunglasses. • Academic Honesty is required and expected. • Calculators are not permitted on this test. • The exam is double-sided and there are 6 questions on the exam for a total of 60 points. • Do each of the problems and show all work within the indicated margins. • Partial credit will be given for partially correct work. • Box or circle your final answer. • When you finish the exam: ⋆ Make sure that your name is written in the space provided in the top right corner of each page. ⋆ If you finish before 8:10 PM , you may quietly turn in your exam and leave. You must show your ID to the proctor at this time. No exam will be accepted for grading without an ID. ⋆ All students who are still taking the exam at 8:10 PM , must remain seated until the end of the examination period at 8:20 PM . At that time, everyone will be instructed to stop working on the exam. Your writing utensil should be put down and the exam booklet closed. Anyone who does not follow these instructions will earn zero points on the page they have open. You will then show your ID to the proctor. No exam will be accepted without an ID. • If you have any questions during the exam, please raise your hand and a proctor will come to you as soon as possible. Read each question carefully, write your solution clearly, and check your work. Good luck on the exam, and please wish the people near you good luck as well! I certify that I have read, understand, and agree to abide by the above exam directions. Signature:
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BLANK TEMPLATE Math 231 Spring 2024 Exam 3 Blank Name: ⋆ 1. (12 points) Determine whether each sequence converges or diverges. If it converges, state the limit value. You must show work to receive credit. (a.) a n = . . . (b.) a n = . . . (c.) a n = . . . (d.) a n = . . .
BLANK TEMPLATE Math 231 Spring 2024 Exam 3 Blank Name: ⋆ 2. (12 points) Use Direct Comparison Test, Limit Comparison Test, Ratio Test, or Root Test to determine whether each series converges or diverges. You must show work to receive credit, including justifying the test you use. (a.) ∞ X n =? a n (b.) ∞ X n =? a n
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