xÇ÷ÓÚÁãʱ, sin(2x)µÄ¼«ÏÞµÈÓÚ?

limsin(2x)/(2x)=2cos(2x)/2=cos(2x)=1 Ôòsin(2x)~2x arcsin(x/2) +C½â´ð¹ý³ÌÈçÏ£º¡Ò[1/¡Ì(4-x²)] dx=¡Ò[1/¡Ì(1-(x/2)²)]d(x/...


xÇ÷ÏòÎÞÇî´óʱ, sin2xÊǶàÉÙ?

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ÇóÏÂÁм«ÏÞÖµ1.Lim sin2x¨M3x x¡ú02.Lim tan5x¨Mxx¡ú0...

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lim (sin2x/sin3x)ÆäÖÐxÇ÷½üÓÚ0

Èý·ÖÖ®¶þ.ÕâÊÇ0/0Ð͵Ä,lim(sin2x/sin3x)=lim[(sin2x)'/(sin3x)']=lim(2cos2x/3cos3x)=2/3


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lim x - 0 sin2x/x Çó¼«ÏÞ

xºÍsinxÊǵȼÛÎÞÇîС,·ÇÒª¹ý³ÌµÄ»°,ÓÃÂ屨´ï°É,ÈçÏÂ:lim 2x/sinx = 2*lim x/sinx=2*lim 1/cosx=2*1=2


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