Math 180 Spring 2013
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Final Exam
(30 pts) 1. Limits: Compute each limit or explain why it does not exist.
(a) lim x 1 x
x
e x e x
x0
x
2
x 4
(c) lim
x2 (x 2)2
(b) lim
(30 pts) 2. Derivatives: Find derivative of each function below.
x2
x 1
(b) arcsin(
Math 180
Final Exam
December 11, 2008
NOTE: No actual final exam will have questions on every topic in the course. Topics in
the syllabus (the weekly schedule on the first page of the Math 180 Website) that are not on
this exam, given last fall, could be
Math 180
Final Exam
12/10/2015
Time Limit: 2 Hours
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Math 180 Fall 2011
Name:
Final Exam
DO NOT WRITE ON THIS PROBLEM SHEET
Nothing written here will be read or graded.
WRITE YOUR ANSWERS IN AN EXAM BOOKLET
(30 pts) 1. Calculate the following limits:
3 sin x cos x
2x
x 2
p
(b) lim x 2 + x x
(a) lim
x
x2 +
MATH 180
Final Examination
Thursday May 7, 2009
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Write your answers in the exam booklet provided and return your copy of the examination
with the examination booklet. You must show your work on all problems. An unjustified
ans
MATH 180 cfw_ Spring 2014
Final Exam
Thursday, May 8, 2014
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MATH 180 cfw_ Fall 2013
Final Exam
Thursday, December 12, 2013
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Math 180
Final Exam
December 13, 2007
For each problem give a complete written solution which states the method being used
and clearly shows all the mathematical steps. Numerical answers can be given in terms
of constants such as e, , ln 2, 5. A calculato
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MATH 180 Final Exam - Spring 2008
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To receive full credit, you must show all work and write legibly.
On the front of your exam booklet write: your name; the name of your professor; the name
of your TA; the tim
Math 180 Final Exam Fall 2009
For each problem give a complete written solution which states the method being used
and clearly shows all the mathematical
steps. Numerical answers can be given in terms of
constants such as e, , ln 2, 5.
1. Differentiate wi