1.当x∈[1/√3,√3]时,π/(6√3)≤xarctanx≤π/√3,所以∫(1/√3~√3)π/(6√3)dx≤∫(1/√3~√3)xarctanxdx≤∫(1/√3~√3)π/√3dx,即π/9≤∫(1/√3~√3)xarctanxdx≤2π/32.(1)原极限=lim(n...