Posted by eng on Tuesday, July 20, 2010 at 1:01am.
I would write it as
(1+x^4)^-1 and apply the general binomial theorem to get
= 1^-1 + (-1)(1^-2/1!(x^4) + (-1)(-2)(1^-3)/2! (x^4)^2 + (-1)(-2)(-3)(1^-3)/3! (x^4)^3 + ...
= 1 - x^4 + x^8 - x^12 + x^16 - x^20 + ...
for -1 < x < +1
I tested for x = .25 and my margin of error was 4.17x10^-10 using the above 6 terms
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