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

# Limits binomial theorm watch

1. Using the binomial theorem .

The question says otherwise and i was able to show this using a different method. I can't see how what they have given helps to find the limit or how the binomial theorem helps. Any help would be good.
Attached Images

2. If then

You can use your binomial expansion to show what the question is asking using the above, as you find that

as for all
3. (Original post by Noble.)
If then

You can use your binomial expansion to show what the question is asking using the above, as you find that

as for all
Using what they have given we have
.

I can't see what i have to do next..
4. Write .

Then (1+h)^n = n+1.

Expand LHS using the binomial theorem. Note that all the terms are positive (since h > 0).

So you know the LHS is bigger than the sum of the 1st and 3rd terms of the binomial expansion.

So the sum of the 1st and 3rd terms must be less than n+1. You can use this to show h->0 as n->infinity.

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: April 9, 2013
Today on TSR

### Any tips for freshers...

who are introverts?

### More snow?!

Discussions on TSR

• Latest
Poll
Useful resources

### 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

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest

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