MATH 100—Midterm Examination
Date: October 29, 2011 Time: 90 minutes
Surname: Given name(s):
(Please, print!)
ID#: Signature:
Please, check your section/instructor!
Section Instructor X
EA1/SA1 V. Yaskin
EB1 D. Hrimiuc
EC1 D. Alonso
ED1 E. Leonard
EE1 H. Freedman
EF1 O. Marchal
EG1 V. Yaskin
EH1 T. Liko
EJ1 O. Rivasplata
Instructions
1. Place your U of A Student ID card on your table or desk.
2. The exam has 8 pages including this cover page and a back page for instructors’ use. Please
ensure that you have all pages, and write your name at the top of each page.
3. The exam will be marked out of 60 points. There are 6 questions. The points for each
question are indicated beside the question number, as well as on the last page.
4. Answers must be accompanied by adequate justification. If you run out of space, use the back
of any page for answers as needed. Clearly direct the marker to answers that you provide on
the back of a page.
5. This is a closed book exam. No books, notes, calculators or other electronic aids
are allowed!
, ID#: Name:
1. (a) [4 pts] Evaluate the limit √
lim+ x sin2 (π/x).
x→0
(b) [4 pts] Evaluate the limit
1
lim √ √ .
n→∞ n2 + n + 1 − n2 + 1
(c) [4 pts] Find the horizontal asymptotes of the graph of the function f (x) = √2x−1 .
x2 +3
Date: October 29, 2011 Time: 90 minutes
Surname: Given name(s):
(Please, print!)
ID#: Signature:
Please, check your section/instructor!
Section Instructor X
EA1/SA1 V. Yaskin
EB1 D. Hrimiuc
EC1 D. Alonso
ED1 E. Leonard
EE1 H. Freedman
EF1 O. Marchal
EG1 V. Yaskin
EH1 T. Liko
EJ1 O. Rivasplata
Instructions
1. Place your U of A Student ID card on your table or desk.
2. The exam has 8 pages including this cover page and a back page for instructors’ use. Please
ensure that you have all pages, and write your name at the top of each page.
3. The exam will be marked out of 60 points. There are 6 questions. The points for each
question are indicated beside the question number, as well as on the last page.
4. Answers must be accompanied by adequate justification. If you run out of space, use the back
of any page for answers as needed. Clearly direct the marker to answers that you provide on
the back of a page.
5. This is a closed book exam. No books, notes, calculators or other electronic aids
are allowed!
, ID#: Name:
1. (a) [4 pts] Evaluate the limit √
lim+ x sin2 (π/x).
x→0
(b) [4 pts] Evaluate the limit
1
lim √ √ .
n→∞ n2 + n + 1 − n2 + 1
(c) [4 pts] Find the horizontal asymptotes of the graph of the function f (x) = √2x−1 .
x2 +3
