问一下这道题是得0嘛？
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t->0
arctan√t = √t +o(√t)
lim(x->0)∫(0->x^2) arctan√t dt/ (xsinx)
=lim(x->0)∫(0->x^2) arctan√t dt/ x^2
=lim(x->0)∫(0->x^2) [√t +o(√t) ] dt/ x^2
=lim(x->0) (2/3) [t^(3/2) +o(t^(3/2)) ]|(0->x^2)/ x^2
=lim(x->0) (2/3)x^3/ x^2
=lim(x->0) (2/3)x
=0
对，极限=0
arctan√t = √t +o(√t)
lim(x->0)∫(0->x^2) arctan√t dt/ (xsinx)
=lim(x->0)∫(0->x^2) arctan√t dt/ x^2
=lim(x->0)∫(0->x^2) [√t +o(√t) ] dt/ x^2
=lim(x->0) (2/3) [t^(3/2) +o(t^(3/2)) ]|(0->x^2)/ x^2
=lim(x->0) (2/3)x^3/ x^2
=lim(x->0) (2/3)x
=0
对，极限=0
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