limcotx+sinx
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limcotx^sinx 0+
Áîy=cotx^sinx Ôòlny=sinx lncotx lny=sinx (ln cosx-lnsinx)=sinx(-lnsinx)=-ln(sinx)/(1/sinx)0/0ÐÍ,ÓÃÂޱش﷨Ôò£ºlny=cosx/sinx / [-cosx(sinx)^2]=...
Çó¼«ÏÞ lim(cotx)µÄsinx´ÎÃÝ µ±xÎÞÏÞ´ÓÕý·½Ïò±Æ½üÓÚ0 - °Ù¶È...
=lim e^[-csc²x/cotx/(-cscx*cotx)]=lim e^[tan²x/sinx]=e^0=1
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lim(¡÷x¡ú0)[cot(x+¡÷x)-cotx]/[(x+¡÷x)-x]=lim(¡÷x¡ú0)[cos(x+l¡÷x)sinx-sin(x+¡÷x)cosx]/[(sin(x+¡÷x)sinx)*¡÷x ]=lim(¡÷x¡ú0) -[sin[(...
lim x¡ú0,(cotx - 1/x)ÓÃδ¶¨Ê½Â屨´ï·¨Ôò¸ã!
ÎÒÊ¡ÂÔ¼«ÏÞ·ûºÅÁ˰¡.cotx-1/xͨ·ÖÓÐ(xcosx-sinx)/(xsinx)Â屨´ï·¨ÔòͬÇóµ¼ÓÐ:(cosx-xsinx-cosx)/(sinx+xcosx)=(-xsinx)/(sinx+xcosx)ÔÙÓ÷¨ÔòͬÇóµ¼ÓÐ:(-...
Ϊʲôcsc^2(x)Óëcot^2(x)µÄµ¼ÊýÒ»Ñù?
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limxÇ÷½üÓÚÎÞÇîsinx(arctanx)=?? limxÇ÷½üÓÚ+ÎÞÇîsin...
arctanx limx sinx arccotx ËÑË÷×ÊÁÏ ºöÂÔ Ìá½»»Ø´ð ÄäÃû »Ø´ð×Ô¶¯±£´æÖÐ ÄãµÄ»Ø´ð±»²ÉÄɺ󽫻ñµÃ: ϵͳ½±Àø15(²Æ¸»Öµ+³É³¤Öµ)+ÄÑÌâ½±Àø30(²Æ¸»Öµ+³É³¤Öµ)Ϊ...
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¶ølim(x¡ú0+)(tanx)lnx=lim(x¡ú0+)(lnx)/(cotx)£¬Êô¡°¡Þ/¡Þ¡±ÐÍ£¬ÓÃÂ屨´ï·¨Ôò£¬¡àlim(x¡ú0+)(tanx)lnx=-lim(x¡ú0+)[(sinx...
...x - >0lim(cotx)^(1/lnx) x - >0+´ð°¸·Ö±ðΪ:1/2,1/3...
= lim_{x->0+}[-xsinx/cosx - xcosx/sinx]= 0 - 1= -1.lim_{x->0+}(cotx)^(1/lnx)= exp{lim_{x->0+}ln(cotx)/lnx }= e^(-1)....
...^3µÄͬ½×ÎÞÇîС,ÔòÇóa,bµÚÈý¸öÎÊÌâ:limx¡ú0 c
limx¡ú0 cotx(1/sinx-1/x)=?µÚËĸöÎÊÌâ:f(x)=x^2sin1/x x>0;ax+b x¡Ü0 ÔÚx=0´¦¿Éµ¼,Ôòa=?b=?µÚÎå¸öÎÊÌâ:f(x)=x^2/1-x^2.Çóf(x)n½×µ¼Êý....
ÕýÏÒº¯ÊýsinxµÄÎÞÇî³Ë»ýÔõô֤Ã÷ÒÔ¼°ÓàÇк¯ÊýcotxµÄ...
ÓÉsin(x)µÄ¶þ±¶½Ç¹«Ê½£º{sinx=2sinx2cosx2sinx2=2sinx4cosx4sinx2p1=2sinx2pcosx2...ÓÉÓÚlimx¡ú0sinxx£¬Òò¶ølimx2p¡ú0sinx2px2p£¬ËùÒÔ£ºsinx=2pcosx2cosx4cosx2px2p,limp¡ú¡Þsin...