1. Prove that

So

2. Prove that

So

3. Prove that .

Thiis is basically the same method as two? Are the above correct?

Thanks

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- Feb 2nd 2008, 05:32 PMshilz222Proofs
1. Prove that

So

2. Prove that

So

3. Prove that .

Thiis is basically the same method as two? Are the above correct?

Thanks - Feb 3rd 2008, 05:23 AMpellikkan
the proof for 1 seems convincing except for placement of terms, but the one for 2 doesn't, as it stands.

To me, it would be more convincing if you substituted the expansion

r(x+h)=r(x)+hr'(x)+..., and likewise for s, into the second line, and then

threw out terms second order and above in h.