Homework for Math 3210
Spring 2010 Week 5
Instructor: Rémi Lodh
Due Fri. 19th 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)
§2.5 : 9,10
§2.6 : 1,4,5,10,11
§3.1 : 1,5
§3.1 : Using only the definition of continuity, prove that the function f (x) =
[0, ∞) is continuous at x = 0.
√
§3.1 : Using only the definition of continuity, prove that the function f (x) =
(0, ∞) is continuous at x = 1.
x on
1
on
x
http://www.math.utah.edu/~remi/teaching/3210Spr2010/3210Spr2010.html
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