Hello. This is the most closely matching forum I found for this, so I hope my question fits here. I was looking at the following proof of the Central-Limit theorem:(adsbygoogle = window.adsbygoogle || []).push({});

http://physics.ucsc.edu/~peter/250/deriv_climit.pdf

and after Eq. (10) it says: "Expanding out the exponential in the last expression and comparing

powers of k one finds that the first few cumulants are..."

but I don't see how the equalities in the next lines stem from it.

Could someone please explicitly show that?

Thanks.

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# Central limit theorem

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