Homework for Math 3210
Spring 2010 Week 6
Instructor: Rémi Lodh
Due Fri. 26th Feb.
Guidelines for homework
• Please do all problems.
• Try to be as clear as possible in your answers.
• Write the proofs in the same way as in the lectures.
• Staple your homework sheets together. Failure to do so will result in a points
penalty.
Homework Problem List (from Taylor’s Foundations of Analysis)
§3.1 : 2,4,7,8
§3.2 : In the proof of Theorem 3.2.1 we assumed that if we split an interval I into
two intervals I1 and I2 (not necessarily disjoint), then a function f : I → R
must satisfy supI f = supI1 f or supI f = supI2 f . Prove this. (Hint: reduce to
proving that if A, B are subsets of R, then sup(A∪B) = max{sup(A), sup(B)}.)
§3.2 : 1,2,4,5,6
http://www.math.utah.edu/~remi/teaching/3210Spr2010/3210Spr2010.html
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