Calculus II Final Exam Cheat Sheet
LHospitals Rule: When taking a limit, if you get an indeterminate form i.e.
0
, ,etc you take
0
the derivative of the top and bottom and evaluate the limit again
Trig Substitution
Integration by Parts
If the integral c
MAT 132 Final Exam Review Sheet
Section 8.1
A sequence is an ordered list of numbers. A series is the sum of an ordered list of numbers.
Remember all of your rules of limits, but also remember when they dont apply. You only have
limn an bn = limn an lim
Math 2425
Midterm 2 Version A
Spring 2009
Print your name legibly as it appears on the class rolls:
Last _ First _
ID Number: 1 0 0 0 _ _ _ _ _ _
Check the appropriate section:
001 Dr. Grantcharov
004 Dr. Jorgensen
007 Dr. Pankavich
Fill in your scantron
Math 2425
Midterm 2 Version A
Spring 2008
Print your name legibly as it appears on the class rolls:
Last _ First _
ID Number: _ _ _ _ _ _ _ _ _ _
Check the appropriate section:
001 Dr. Gornet
004 Dr. Li
007 Mr. Madrid
011 Dr. Dyer
Fill in your scantron ex
Math 2425
Midterm 2 Version A
Fall 2008
Print your name legibly as it appears on the class rolls:
Last _ First _
ID Number: 1 0 0 0 _ _ _ _ _ _
Check the appropriate section:
001 Dr. Jha
004 Dr. Grantcharov
007 Dr. Gornet
010 Dr. Pankavich
Fill in your sc
Math 2425
Fall 2007
Midterm 2A
Print your name legibly as it appears on the class rolls:
Last _ First _
ID Number: _ _ _ _ _ _ _ _ _ _
Check the appropriate section:
012 Dr. Li
015 Dr. Gornet
018 Dr. Jorgensen
021 Mr. Madrid
Name:
Subject:
Test No.
*WRITE
Math 2425 Midterm 2 Review Activity
26 October 2005
(1) Evaluate
e3x
1 e2x dx
(2) Evaluate
dx
x4 + 4x2 + 3
(3) Evaluate
3
1
dx
x1
1
(4) Show that cfw_ en converges by showing that it is increasing with an upper bound or
n
decreasing with a lower bound.
(
Infinite Sequences and Series
Calculus 2 (Wheeler) - The University of Pittsburgh
Fall 2008
MWF 9:00-9:50 (Course #10052)
MWF 2:00-2:50 (Course #12728)
Room 426 Benedum
Room 525 Benedum
1. Definitions and Basics
Denition 1.1 (Sequence).
A sequence cfw_an
Sequences and Series Review
Two very important (distinct) mathematical objects are sequences and series. A sequence is an innite list of numbers, whereas a series is an innite
sum. With a series n=1 an , though, we can associate two sequences:
n
1) its se