limx→0(√2-√(1+cosx))/(sin3x)^2=lim(1-cosx)/[(sin3x)^2(√2+√(1+cosx))]=lim(1-(1-2sin^2(x/2)))/[(sin3x)^2(√2+√(1+cosx))]=lim2sin^2(x/2)/[(sin3x)^2(√2+√(1+cosx))]=lim2sin^2(x/2)*1/4/(x/2)^2/[(sin...