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I have been asked to find the Maclaurin series expansion of a term involving an elliptic integral, I would be grateful for any help as I am unsure as to how to even start this question. The term I have to expand is (4/pi)* K (sin(x)) , in which K(sin(x)) represents a complete elliptic integral of the first kind with modulus sin(x).

Thanks in advance =D

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    Elliptic integrals are not elliptic functions.2012-02-08
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    [Wikipedia](http://en.wikipedia.org/wiki/Elliptic_integral) has the MacLaurin expansion of the complete elliptic integral of the first kind.2012-02-08

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