Question: . Let [x] denotes the ceiling function that maps x to the least integer greater than or equal to x and let (x) = [x].

. Let [x] denotes the ceiling function that maps x to the least integer greater than or equal to x and let (x) = [x]. Define the sequence pn = integral from 1/2 to n+1/2 (cos(x)/x) d(x). Prove that the sequence pn converges in R

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