lim(x趋向0)(arctanx-x)/sinx^3
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lim(x趋向0)(arctanx-x)/sinx^3lim(x趋向0)(arctanx-x)/sinx^3lim(x趋向0)(arctanx-x)/sinx^3lim【x→0】(arctanx-x)
lim(x趋向0)(arctanx-x)/sinx^3
lim(x趋向0)(arctanx-x)/sinx^3
lim(x趋向0)(arctanx-x)/sinx^3
lim【x→0】(arctanx-x)/sinx³
=lim【x→0】[1/(1+x²)-1]/(3x²cosx³)
=lim【x→0】(-1)/[(1+x²)(3cosx²)]
=-1/3
答案：-1/3
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