# Homework Help: Can someone show the steps?

1. Nov 9, 2005

### sony

how to go from: [(1+n)^n]/n to: (1+1/n)^n ?

2. Nov 9, 2005

### quasar987

It's not true.

3. Nov 9, 2005

### amcavoy

Do you mean:

$$\lim_{n\to\infty}\left(1+\frac{1}{n}\right)^{n}=\lim_{n\to 0}\left(1+n\right)^{\frac{1}{n}}.$$

4. Nov 9, 2005

### BerryBoy

http://www.berrys.plus.com/hh3.gif [Broken]
You can check if you can get to a another equation by substuting values into 'n'.
Regards,
Sam

Last edited by a moderator: May 2, 2017
5. Nov 9, 2005

### amcavoy

Well, that doesn't always work (checking by substituting values). It's easy enough to show using algebra rules anyways.

6. Nov 9, 2005

### BerryBoy

Its true that it doesn't always work, but it is a quick method of proving something doesn't equate.

7. Nov 11, 2005

### sony

Sorry, that's what I meant. Can you show me how you get to the right hand expression?

Last edited by a moderator: May 2, 2017
8. Nov 11, 2005

### matt grime

you realize you're asking for someone to explain why (1+2)/2 = 1/2 +2/2, or more generally that (a+b)/c = (a/c)+(b/c), which is something you learn in primary/elementary school, right?

9. Nov 11, 2005

### sony

Oh, dear god... I can't believe I could be THAT silly

Of course I see it, my incredible dull brain was confused by the n's, probably.

Anyways, sorry for bothering you with this. That was rather embarrassing...

10. Nov 14, 2005

### quasar987

You just got grimed! :surprised Ouch.