lim 1 2x 3 sinx
...lim(1+2x)µÄ3/sinx´Î·½µÄ¼«ÏÞÊǶàÉÙ?¾ßÌåÈçºÎÀûÓÃ...
xÇ÷Ïò0 x=sinx (1+x)^(1/x)=e(1+2x)^(6/2x)=e^6
Çó¼«ÏÞlimµÄ³£Óù«Ê½
Çó¼«Ï޵ĸ÷ÖÖ¹«Ê½1¡¢e^x-1~x (x¡ú0) 2¡¢ e^(x^2)-1~x^2 (x¡ú0)3¡¢1-cosx~1/2x^2 (x¡ú0)4¡¢1-cos(x^2)~1/2x^4 (x¡ú0)5¡¢sinx~x (x¡ú0...
¼«ÏÞlimx¡ú0,(1 - 3sinx)2x·ÖÖ®1´Î·½ÔõôËã?
(1-3sinx)^[1/(-3sinx)]=eËùÒÔÔ¼«ÏÞΪ lim x¡ú0 e^(-3sinx/2x) =lim x¡ú0 e^(-3/2*sinx/x) =e^(-3/2)
¸ßÊýlim(x - 0) (tan2x - sinx)/3xÔõôËã?
limx¡ú0tan2xsinx3x=limx¡ú0sin2xsinxcos2x3xcos2x=limx¡ú02sinxcosxsinxcos2x3x=l...
...lim x - sinx/x4:µ±x¡ú1ʱ lim ¡Ìx+1 - 1/sin3x (x+1...
1.ÀûÓÃx¡ú0ʱtanx~sinx~x,Ôʽ=lim(x¡ú0)(3x)/(2x)=3/22.ÀûÓÃx¡ú0ʱsinx~x,Áît=x-1,ÔòÔʽ=lim(t¡ú0)sint/(t(t+2))=lim(t¡ú0)t/(t(t+2))=...
ÓÐÄÄЩÁîÈËΪ֮¾ªÌ¾µÄÊýѧÌâÄ¿?
·¢ÏÖÓàϵĹÇͷҲǡºÃ¿ÉÒÔ·ÖΪ7·Ý£¬ËüÒ²ÄõôÁËÆäÖÐµÄÆß·ÖÖ®Ò»£»ÒÀ´ÎÀàÍÆ£¬Ê£ÏµĵÚ3£¬4£¬5£¬6£¬7Ìõ¹·¶¼ÇÄÇĵÄÅܹýÈ¥³Ô1¸ù¹ÇÍ·£¬È»ºóÓà...
µ±XÇ÷½üÓÚ0ʱ,(1+2x)µÄ3/sinx´Î·½µÄ¼«ÏÞÊǶàÉÙ?ΪʲôÊÇe^...
¡àlim(x¡ú0)(1+2x)^(3/sinx)=lim(x¡ú0)e^{[ln(1+2x)](3/sinx)} =lim(x¡ú0)e^[2x(3/x)] (¡ßx¡ú0ʱ,2xÊÇln(1+2x)µÄµÈ¼ÛÎÞÇîСÁ¿£»xÊÇsinxµÄ...
Çó´óÉñ½â´ð:lim(xÇ÷ÓÚ¡Þ)(2x+sinx)/(3x - sinx)
´ð£º1£©sinxÊÇÓн纯Êý£¬-1<=sinx<=1 xÇ÷ÓÚ¡Þʱ£¬sinx¿ÉÒÔºöÂÔ ËùÒÔ£ºlim(x¡ú¡Þ) (2x+sinx)/(3x-sinx)=lim(x¡ú¡Þ) 2x/(3x)=2/3 2£©lim(x¡ú¡Þ) (3x-...
...sinx - sina)/(x - a) Ôõô½â?lim xÇ÷ÏòÓÚÎÞÇî [(x+1...
1¡¢ÓÐÀí»¯·ÖΪ·Ö×ÓÓÐÀí»¯ºÍ·ÖĸÓÐÀí»¯Á½ÖÖÔÚʲôÇé¿öÏÂʹÓÃÄÄÒ»¸ö?´ð:¿´Çé¿ö,ÓÐʱҪ·Ö×Ó·Öĸͬʱ½øÐÐ.ÒÔÄܹ»Äܹ»·Ö×Ó·ÖĸÏûÈ¥ÎÞÇî´ó»òÎÞÇîСΪ׼.2¡¢Èç:lim xÇ÷ÏòÓÚa ...
ÌÀ¼Ò·ïÁã»ù´¡Â屨´ïÒ»½ÚÖÐ˵:µ± x¡ú¡Þʱ,f(x)=2x+sinx...
>2X-1=M¹Ê\lim_{x\rightarrow +\infty}{f(x)}=+\inftysinxΪÕýÏÒº¯Êý£¬ÊÇÓнçµÄ£¬µ±xÇ÷ÓÚÎÞÇî´óµÄʱºò£¬sinxΪһ¸öÓнçÖµ£¬ÒòΪsinx...