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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 1