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Since the series S = m = 3 m ( l n m ) 4 1 converges under the integral test the integral allows to

Since the series S=m=3m(lnm)41 converges under the integral

test the integral allows to increase the approximation error of the series S by the partial sum S₄₀. What error bound R₄₀ = S S₄₀ U provides?

A.U 0.0031 B.U 0.0367 C.U 0.0085 D.U 0.0066 E.U 0.0124 F.U 0.0273

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