- #1
sony
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how to go from: [(1+n)^n]/n to: (1+1/n)^n ?
Can You Master the Equation (1+n)^n/n to (1+1/n)^n?
- Thread starter sony
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In summary, the conversation discusses how to go from [(1+n)^n]/n to (1+1/n)^n. The process involves substituting values into 'n' and using algebra rules. The conversation also touches on the simplicity of equations such as (a+b)/c = (a/c)+(b/c), which is taught in elementary school. The conversation ends with an apology for the confusion and embarrassment caused by the question.
- #2
quasar987
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It's not true.
- #3
amcavoy
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Do you mean:
[tex]\lim_{n\to\infty}\left(1+\frac{1}{n}\right)^{n}=\lim_{n\to 0}\left(1+n\right)^{\frac{1}{n}}.[/tex]
[tex]\lim_{n\to\infty}\left(1+\frac{1}{n}\right)^{n}=\lim_{n\to 0}\left(1+n\right)^{\frac{1}{n}}.[/tex]
- #4
BerryBoy
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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
You can check if you can get to a another equation by substuting values into 'n'.
Regards,
Sam
Last edited by a moderator:
- #5
amcavoy
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Well, that doesn't always work (checking by substituting values). It's easy enough to show using algebra rules anyways.
- #6
BerryBoy
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Its true that it doesn't always work, but it is a quick method of proving something doesn't equate.
- #7
sony
- 104
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Sorry, that's what I meant. Can you show me how you get to the right hand expression?BerryBoy said:
Last edited by a moderator:
- #8
matt grime
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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?
- #9
sony
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matt grime said:
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
quasar987
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You just got grimed! Ouch.
FAQ: Can You Master the Equation (1+n)^n/n to (1+1/n)^n?
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