Timeline for How do I prove $(1 + \frac{1}{n})^n < n$ by mathematical induction?
Current License: CC BY-SA 3.0
19 events
| when toggle format | what | by | license | comment | |
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| Dec 8, 2011 at 20:21 | history | tweeted | twitter.com/#!/StackMath/status/144874367103414274 | ||
| Dec 8, 2011 at 20:16 | comment | added | Aaron McDaid | $\left(1+\frac1n\right)^n < e = 2.7182...$ for $n>0$ | |
| Dec 8, 2011 at 19:49 | comment | added | user17522 | Now let n go to infinity. | |
| Dec 8, 2011 at 14:52 | history | edited | J. M. ain't a mathematician |
edited tags
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| S Dec 8, 2011 at 13:33 | history | suggested | Paul | CC BY-SA 3.0 |
add \displaystyle
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| Dec 8, 2011 at 13:32 | review | Suggested edits | |||
| S Dec 8, 2011 at 13:33 | |||||
| Dec 8, 2011 at 13:28 | comment | added | Zev Chonoles | (Abstract) duplicate of Prove by induction that for all $n \geq 3$: $n^{n+1} > (n+1)^n$ (just divide both sides by $n^n$) | |
| Dec 8, 2011 at 13:28 | history | edited | Jonas Meyer | CC BY-SA 3.0 |
edited title
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| Dec 8, 2011 at 13:23 | history | edited | user940 | CC BY-SA 3.0 |
typo
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| Dec 8, 2011 at 11:37 | comment | added | Tyson | Thanks let me try $a^{k+1}$ | |
| Dec 8, 2011 at 11:34 | comment | added | user1729 | @Tyson: just put dollar signs around your maths, and use curly brackets when you want latex to group things together. For example, a^{k+1} looks like $a^{k+1}$ while a^(k+1) looks like $a^(k+1)$. | |
| Dec 8, 2011 at 11:30 | comment | added | lhf | Actually, much more is true: $\left(1 + \dfrac{1}{n}\right)^n < 3$. | |
| Dec 8, 2011 at 11:24 | comment | added | Tyson | Thanks for latexing it up. This is my first time on this site! | |
| Dec 8, 2011 at 11:17 | answer | added | yunone | timeline score: 9 | |
| Dec 8, 2011 at 11:16 | comment | added | user1729 | I've latex-ed up your post. I wasn't entirely sure how to interpret n>/=3. I think it should be $n \gneq 3$, but I wasn't entirely sure. Is this correct? (It makes sense for the problem, etc.) | |
| Dec 8, 2011 at 11:16 | answer | added | EuYu | timeline score: 17 | |
| S Dec 8, 2011 at 11:14 | history | suggested | user1729 | CC BY-SA 3.0 |
latex-ing it up
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| Dec 8, 2011 at 11:13 | review | Suggested edits | |||
| S Dec 8, 2011 at 11:14 | |||||
| Dec 8, 2011 at 11:07 | history | asked | Tyson | CC BY-SA 3.0 |