## This problem has been solved!

Do you need an answer to a question different from the above? Ask your question!

# (a) Proof rigorously that if {n} is a decreasing sequence, and if it has a convergent subsequence, then {n} converges. (b) Show that there exists a sequence {n} in R such that for any y € R, there is a subsequence {n} converging to y.

**Related Book For**

## Elementary Linear Algebra with Applications

9th edition

Authors: Howard Anton, Chris Rorres

ISBN: 978-0471669593