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.