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Problem 420. Sum the Infinite Series II

Created by Roger Stafford

For any x in the range 0 < x and x < 2*pi radians, find the sum of the following infinite series:

 c = 1 + 1/2*cos(x) + 1/2*3/4*cos(2*x) + 
     1/2*3/4*5/6*cos(3*x) + 1/2*3/4*5/6*7/8*cos(4*x) + ...

as a function of the form c = infinite_series2(x).

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23 correct solutions 80 incorrect solutions
Last solution submitted on Jul 10, 2013

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