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
Pages
9
Uploaded by ChiefButterfly4386 on coursehero.com
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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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This page was intentionally left blank.
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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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