# Limits again

1. Jan 18, 2008

### Firepanda

http://img186.imageshack.us/img186/4594/howtohe5.jpg [Broken]

I know the limits of each are 1 and 3 respectively, and I did work them out by myself, but the question is 8 marks so I'm sure I didn't have enough correct notation, as I had like a line for each and I used more words than math.

What would the correct notation be for questions like these? My book has no examples for such.

Last edited by a moderator: May 3, 2017
2. Jan 18, 2008

### unplebeian

What do you mean by enough correct notation? 'Therefore' signs and 'since' signs?

How did you use more words than math?

I am not sure what you mean by correct notations, but if you want a hint how to start solving these problems apply logs on both sides. By the way have you stuided indeterminate forms?

3. Jan 18, 2008

### Firepanda

Well for the first problem as n tend to infinity, 3 becomes negligible, therefore from the definition of the limit for n^1/n in the question, it also tends to 1. But what is the notation for this?

Its pretty much the same for the other aswell.

Thanks

4. Jan 18, 2008

### unplebeian

I am still unclear about what you mean. After you know that the limit is an indeterminate form you can apply L'Hopitals rule and then finally figure out that the limit is 1. You need to SIMPLIFY the expression inorder to figure out the answer. Simply 'estimating' by n^2/n etc, it isn't going to do it.

5. Jan 18, 2008

### Firepanda

Sorry how do I use L'Hopitals here? :P

I only used it in forms of f(x)/g(x).

6. Jan 18, 2008