MATH/MTHE 281 Midterm 1 Solutions | Full Questions, Answers & Proofs | Winter 2026

9F1EDA59-649F-4821-84CF-1724F46C1FB6

midterm-1-17724

#1 Page 1 of 8

Page 1 of 8
STUDENT NUMBER:

MATH/MTHE 281 — MIDTERM 1 — Feb. 2026

HAND IN
answers recorded
on exam paper




First name (please write as legibly as possible within the boxes)




Last name




Student ID number




Instructors: Thomas Barthelmé & Neige Paulet


Question: 1 2 3 4 5 Total
Points: 5 5 14 13 13 50



• No partial credit will be given for definitions, except in very rare cases.
• Apart from the questions asking for a definition, all your answers need to be justified.
• Calculators are not permitted.



This material is copyrighted and is for the sole use of students registered in Math/Mthe 281 and writing this
examination. This material shall not be distributed or disseminated. Failure to abide by these conditions is a
breach of copyright and may constitute a breach of academic integrity under the University Senate’s Academic
Integrity Policy Statement.

, 2EA2542B-C6C9-40B2-B398-D947F5675039

midterm-1-17724

#1 Page 2 of 8

Page 2 of 8
STUDENT NUMBER:

1. [5 points] Let A ⊂ R. Write the definition of the greatest lower bound of A.




2. [5 points] Let (an ) be a sequence. Write the definition of a subsequence of (an ).