Difference between revisions of "User:I like pie"
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== For Future Use == | == For Future Use == | ||
| − | <math>\displaystyle\sum^{n}_{1}\left(\frac{1}{x}\right)^ | + | <math>\displaystyle\sum^{n}_{k=1}\left(\frac{1}{x}\right)^k=\frac{x^{n}-1}{x^{n}}</math> |
| − | <math>\lim_{n\rightarrow\infty}\left(\displaystyle\sum^{n}_{1}\left(\frac{1}{x}\right)^ | + | <math>\lim_{n\rightarrow\infty}\left(\displaystyle\sum^{n}_{k=1}\left(\frac{1}{x}\right)^k\right)=\frac{1}{x-1}</math> |
<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> | ||
<math>\frac{x^{n}-1}{x^{n}}<\frac{1}{x-1}</math> | <math>\frac{x^{n}-1}{x^{n}}<\frac{1}{x-1}</math> | ||
Revision as of 21:46, 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
