My Math Forum Cycloid power series. problem from hell.

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 December 9th, 2007, 02:51 PM #1 Newbie   Joined: Dec 2007 Posts: 2 Thanks: 0 Cycloid power series. problem from hell. Find the first non-zero terms, the general term for the cycloid power series, and the interval of convergence for the cycloid power series. This problem is hard as anything. can you handle it??
 December 9th, 2007, 03:06 PM #2 Newbie   Joined: Dec 2007 Posts: 2 Thanks: 0 I know that the basics for taylor polynomials. for a cycloid, I know that f(a)+ f'(a)(x-a)+ f''(a)(x-a)^2... will give me the right answer but I don't know how to do this in parametric mode or what really do other than what i've listed below. Thanks! y=-a+acos(theta) x=a(theta)-asin(theta) so, dy/dx=-sin(theta)/1-cos(theta) I also know that d(dy/dx)/dx=d^2y/dx^2
 December 12th, 2007, 05:43 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,375 Thanks: 2010 What was the original wording of the problem, and where did you get this problem from?

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