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Ʃ[n=1,∞] cos(k)/k^(3/2)

I'm not sure how to solve this problem. I'm only aware of remainder formulas for the integral test and for alternating series. I'm not sure that this particular problem pertains to the remainder from the integral test sense we are not given the number of terms and it's what we are solving for and not exactly sure what I'm suppose to do.