Difference between revisions of "User:I like pie"

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<math>\left\lceil\frac{x^{n}-1}{x^{n}}\right\rceil=\frac{1}{x-1}</math>
 
<math>\left\lceil\frac{x^{n}-1}{x^{n}}\right\rceil=\frac{1}{x-1}</math>
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<math>\frac{x^{n}-1}{x^{n}}<\frac{1}{x-1}</math>

Revision as of 21:08, 3 November 2006

I am a user on AoPS, and go by the username i_like_pie. I enjoy playing soccer, programming, talking to my friends, fishing, reading, and many other things.

For Future Use

$\displaystyle\sum^{n}_{1}\left(\frac{1}{x}\right)^n=\frac{x^{n}-1}{x^{n}}$

$\lim_{n\rightarrow\infty}\left(\displaystyle\sum^{n}_{1}\left(\frac{1}{x}\right)^n\right)=\frac{1}{x-1}$

$\left\lceil\frac{x^{n}-1}{x^{n}}\right\rceil=\frac{1}{x-1}$

$\frac{x^{n}-1}{x^{n}}<\frac{1}{x-1}$