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原式=lim(x~0)∫(0,x^2)arctan(t+1)dt/1-cosx+xsinx
=lim(x~0)2xarctan(x^2+1)/(sinx+sinx+xcosx)
=lim(x~0)2arctan(x^2+1)/(2sinx/x+cosx)
=π/2/(2+1)
=π/6
=lim(x~0)2xarctan(x^2+1)/(sinx+sinx+xcosx)
=lim(x~0)2arctan(x^2+1)/(2sinx/x+cosx)
=π/2/(2+1)
=π/6
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