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Problem 415. Sum the Infinite Series

Created by Roger Stafford
Given that 0 < x and x < 2*pi where x is in radians, write a function
 [c,s] = infinite_series(x);

that returns with the sums of the two infinite series

 c = cos(2*x)/1/2 + cos(3*x)/2/3 + cos(4*x)/3/4 + ... + cos((n+1)*x)/n/(n+1) + ...
 s = sin(2*x)/1/2 + sin(3*x)/2/3 + sin(4*x)/3/4 + ... + sin((n+1)*x)/n/(n+1) + ...

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20 correct solutions 50 incorrect solutions
Last solution submitted on Nov 17, 2013

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