## gerryliyana 2 years ago How to expand a function into a power series

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1. gerryliyana

How to expand $x^{3}-3x^{2} + x$ into a power series of the form: $\sum_{k=0}^{\infty} A_{k}P_{k}$

2. oldrin.bataku

Do you know a closed-form expression for the sequence $$\{a_n\}$$ of coefficients $$\{0,1,-3,1,0,0,0,\dots\}$$?

3. gerryliyana

no, i don't

4. oldrin.bataku

ooo, did you mean this? http://www.idea.wsu.edu/Quantum/legendre_series.htm

5. gerryliyana

yeah, of course

6. gerryliyana

and then, what's the next ?? @oldrin.bataku

7. oldrin.bataku

Evaluate that integral.