x→-∞,arctanx→-π/2lim(x→-∞)((arctanx+π)/(x+2)) =lim(x→-∞)(π/2)/[x+2]=0x→-∞,arctanx→π/2lim(x→+∞)((arctanx+π)/(x+2)) =lim(x→+∞)(3π/2)/[x+2]=0∵lim(x→-∞)f(x)=lim(x→+∞)f(x)=0∴linm(...