求极限.下面那个怎么求?
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求极限.下面那个怎么求?
求极限.下面那个怎么求?
求极限.下面那个怎么求?
用洛必达法则
左边=lim(x→0)2∫(0→x)tcos(t^2)dt*xcos(x^2)/sin(x^2)
=lim(x→0)2x∫(0→x)tcos(t^2)dt/x^2 (sinx~x,lim(x→0)cos(x^2)=1)
=lim(x→0)2∫(0→x)tcos(t^2)dt/x
=lim(x→0)2xcos(x^2)
=0