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

# Series query. watch

1. (Original post by RichE)
Maybe I shouldn't lecture him until he's in Oxford
LOL!
2. Nope
Lol well do my employers? It's a Thursday and i'm supposedly contracted to work

Maybe I shouldn't lecture him until he's in Oxford
3. (Original post by Phil23)
do you use your holidays what they are used for ...sleeping..resting....sleeping some more?!?!?

STOP STUDYING, lol
why did i get so much rep for this - can't anyone on TSR appreciate a joke now and then - why is everyone so serious

my positve 4 rep points was a record whilst it lasted, for just over 24 hours - can anyone TOP me up please...dont really like the red diamond

4. (Original post by RichE)
Well maybe I'm being too hard on Phil. Maybe I shouldn't lecture him until he's in Oxford
i'd prefer it if you didn't lecture me when and if i get to oxford
5. (Original post by Phil23)
i'd prefer it if you didn't lecture me when and if i get to oxford
I also but mysterious ways and all that...
6. (Original post by RichE)
I also but mysterious ways and all that...
7. I have another question. This is concerned with functions rather than series but is still analysis.

The book states:
Theorem 4.1.11: Suppose that f(x) and g(x) are defined for all x<a and satisfy the inequality g(x)f(x) for all x<a, where a is some given real number. If g(x) as x, then f(x) as x

I suspect that there is a typo in this theorem however.
as implies:

But does not imply that and so we have not guaranteed as .

Should it instead be worded:
Theorem 4.1.11: Suppose that f(x) and g(x) are defined for all x<a and satisfy the inequality g(x)f(x) for all x<a, where a is some given real number. If g(x) as x, then f(x) as x

Here note:
and so so as

Thanks.
8. In my copy of Hart it is actually printed as you suggest it should. So maybe you have an earlier edition and the typo was noticed later - certainly it isn't true as you first present it.
9. (Original post by RichE)
In my copy of Hart it is actually printed as you suggest it should. So maybe you have an earlier edition and the typo was noticed later - certainly it isn't true as you first present it.
I bought my copy (second edition) at the start of this month. Perhaps it's specific to a few copies.
In any case, thanks for the confirmation that there's a typo in my copy - thankfully it's not an error in my understanding.
10. Am I right in thinking that does not exist as ?
I think the author of the book has used l'Hopital's rule inappropriately as but they have given the answer
11. (Original post by Gaz031)
Am I right in thinking that does not exist as ?
I think the author of the book has used l'Hopital's rule inappropriately as but they have given the answer
It doesn't exist from either side unless you include plus or minus infinity in your definition of a limit. Yes the book seems wrong. Is this Hart? (again!?)
12. (Original post by RichE)
It doesn't exist from either side unless you include plus or minus infinity in your definition of a limit.
I usually count as limits and see things like as not having a limit.

Yes the book seems wrong. Is this Hart? (again!?)
Yes, not to worry. Thanks for the confirmation.

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: July 26, 2005
Today on TSR

### Edexcel C3 Maths Unofficial Markscheme

Find out how you've done here

### 3,836

students online now

Exam discussions

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