Can You Master the Equation (1+n)^n/n to (1+1/n)^n?

[sony]

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

 

[quasar987]

It's not true.

 

[amcavoy]

Do you mean:

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

 

[BerryBoy]

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

 

[amcavoy]

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

 

[BerryBoy]

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

 

[sony]

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

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

 

[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?

 

[sony]

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?

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...

 

[quasar987]

You just got grimed! Ouch.