MATH 242: Principles of Analysis
Homework Assignment #7
DUE DATE: Thurs., Nov. 5, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all pr
MATH 242: Principles of Analysis
Homework Assignment #9
DUE DATE: Thurs., Dec. 3, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all pr
MATH 242: Principles of Analysis (Fall 2009)
Practice Problems for the Final Exam
1. Consider the sequence dened recursively by y1 = 1 and yn+1 = 3
1
n N.
yn
(a) Use induction to prove that the seque
MATH 242: Principles of Analysis (Fall 2009)
Practice Problems for Exam 2
1. Construct a divergent sequence that has three convergent subsequences with distinct limits.
2. Construct a bounded sequence
MATH 242: Principles of Analysis (Fall 2009)
Practice Problems for Exam 1
1. Prove that
3
2 is irrational.
2. Use induction to prove that n2 4n for all n 1.
3. Let Pn be the statement that 2 + 6 + 10
MATH 242: Principles of Analysis
Homework Assignment #8
DUE DATE: Thurs., Nov. 12, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all p
MATH 242: Principles of Analysis
Homework Assignment #6
DUE DATE: Thurs., Oct. 29, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all p
MATH 242: Principles of Analysis
Homework Assignment #5
DUE DATE: Thurs., Oct. 22, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all p
MATH 242: Principles of Analysis
Homework Assignment #4
DUE DATE: Thurs., Oct. 1, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all pr
MATH 242: Principles of Analysis
Homework Assignment #3
DUE DATE: Thurs., Sept. 24, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all
MATH 242: Principles of Analysis
Homework Assignment #2
DUE DATE: Thurs., Sept. 17, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all
MATH 242: Principles of Analysis
Homework Assignment #1
DUE DATE: Thurs., Sept. 10, start of class.
Homework should be turned in at the BEGINNING OF CLASS. You should write up solutions
neatly to all