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**Cam9430****Guest**

Hi, I'm a bit new to this place.

I was thinking about this equation for a while. It came up because I've been doing excessive fraction work in Kumon lately (Urrrgh not Kumon). Essentially, you could say I "discovered" it?

So, I was asking if anyone could prove, if possible:

For all values of N (Natural numbers).

I've been assuming this equation for a while to help me take shortcuts in Kumon, but I was wondering if it is even true?

Post your proofs, or proofs against this equation, below.

~Cam943

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,656

Hi Cam9430;

That is an identity, it is true for all numbers not just N.

**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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Have you encountered partial fractions before?

This is clearly true as you claimed, since

**LearnMathsFree: Videos on various topics.New: Integration Problem | Adding FractionsPopular: Continued Fractions | Metric Spaces | Duality**

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