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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,243

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**Leroy****Guest**

I have understood everything quite well,but I don't understand what is the logic for taking the convergents,is there any rule for which convergent will be the solution?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,243

There is a theorem that says that. This is not something I just cooked up, I wished I had.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**Leroy****Guest**

So I have find the convergent by trial and error

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,243

No, there is a method to find the convergents.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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