Turn on thread page Beta
 You are Here: Home >< Maths

# Help in Analysis? watch

1. Hi, could anybody help me with this problem attached? I was thinking about using proof by contradiction but I honestly no idea how or where to start.
Attached Images

2. (Original post by Hiling99)
Hi, could anybody help me with this problem attached? I was thinking about using proof by contradiction but I honestly no idea how or where to start.
The fact that there is an n1 such that n1 > x is just a restatement of the statement before the question (I assume that this is Archimedes' Theorem). For the other part, consider what this same statement tells you about -x.
3. Yeah that is Archimedes' Theorem, sorry I forgot to mention that.

So if you consider -x then would that just mean For every x ϵ ℝ there exists n ϵ ℕ such that -x>-n?
4. (Original post by Hiling99)
Yeah that is Archimedes' Theorem, sorry I forgot to mention that.

So if you consider -x then would that just mean For every x ϵ ℝ there exists n ϵ ℕ such that -x>-n?
I wouldn't try and rewrite Archimdes' Theorem. I would just use the fact that -x is still a real number. Use -x as the real number in the theorem.

Reply
Submit reply
Turn on thread page Beta

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: October 15, 2017
Today on TSR

### Results day under a month away

How are you feeling?

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.