MATH 3210 § 2 | SIXTH HOMEWORK ASSIGNMENT | Due Monday, |

A. Treibergs | October 11, 2004 |

- Please hand in the following exercises from the text "An Introduction to Analysis, Third Edition" by William Wade, Prentice Hall, 2004.
- 38 [ 2c, 4a, 8 ]
- Please do the following additional exercises.
- Prove that the sequence
*{ (2+5n)/(8+11n) }*converges._{n=1,2,3,...} - Prove that the sequence
*{ n/5 - [n/5] }*does not converge. (_{n=1,2,3,...}*[y]*denotes the greatest integer part of*y*.) - True or false? Give a proof if true. Give a counterexample if false.
- If
*x*then_{n}--> a*[x*._{n}] --> [a] - If
*[x*then_{n}] --> [a]*x*._{n}--> a

- If

- Prove that the sequence