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

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sony
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how to go from: [(1+n)^n]/n to: (1+1/n)^n ?
 
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It's not true.
 
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}}.
 
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
 
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Well, that doesn't always work (checking by substituting values). It's easy enough to show using algebra rules anyways.
 
Its true that it doesn't always work, but it is a quick method of proving something doesn't equate.
 
BerryBoy said:
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?
 
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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?
 
matt grime said:
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 :bugeye:

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
You just got grimed! Ouch.
 
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