MATH 3210 § 2 SIXTH HOMEWORK ASSIGNMENT  Due Monday,
A. Treibergs    October 11, 2004

  1. Please hand in the following exercises from the text "An Introduction to Analysis, Third Edition" by William Wade, Prentice Hall, 2004.

  2. Please do the following additional exercises.
    1. Prove that the sequence { (2+5n)/(8+11n) }n=1,2,3,... converges.
    2. Prove that the sequence { n/5 - [n/5] }n=1,2,3,... does not converge. ([y] denotes the greatest integer part of y.)
    3. True or false? Give a proof if true. Give a counterexample if false.
      1. If xn --> a then [xn] --> [a].
      2. If [xn] --> [a] then xn --> a.