limx→0(x^3+1)/(x+1)sin2x

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limx→0(x^3+1)/(x+1)sin2xlimx→0(x^3+1)/(x+1)sin2xlimx→0(x^3+1)/(x+1)sin2xlimx→0∴(x^3+1)/(x+1)sin2x→1/

limx→0(x^3+1)/(x+1)sin2x
limx→0(x^3+1)/(x+1)sin2x

limx→0(x^3+1)/(x+1)sin2x
limx→0
∴(x^3+1)/(x+1)sin2x→1/1×sin2x→1×sin2x→1×0→0