Question: Multiply sums? Prove identity? Display coefficients of power-series?

Hey,

I'm new to here and new to maple and I've got 3 questions:

1. Is it possible to make maple multiply two series with the cauchy product?

2. How to prove identity of two equations? Sometimes I have to differentiate a function and want to prove it with maple ... But when I differentiate with maple with diff(f(x),x) it's displayed in another way. Is it now possible to prove wether the two eqautions (mine and the one from maple) are the same, just in another notation?

3. Is it possible to let maple calculate the coefficients of a series displayed as power-series?

Thanks so far!

 

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