Çó½âlim(1 - x)tan90¡ãx x¡ú1

lim(1-x)tanx¦Ð/2 =lim(1-x)/(cosx¦Ð/2)=lim -1/(-¦Ð/2sinx¦Ð/2)=2/¦Ð x¡ú1


ÇóÏÂÁм«ÏÞ²¢ËµÃ÷ÀíÓÉ lim xÇ÷ÏòÓÚ0 (1 - x^2)/(1 - x) - °Ù ...

lim 1-x² lim (1+x)(1-x)¡ª¡ª¡ª= ¡ª¡ª¡ª=x¡ú0 1-x x¡ú0 1-xlimx¡ú0 1+x xµÈÓÚ´øÈë´ð°¸µÈÓÚ1Ö±½ÓÔ¼·Ö...


Ϊʲôlim(1 - x)/sin¦Ðx(xÇ÷ÓÚ1)=1/¦Ð?

¿ÉÒԵȼÛÌæ´úÁËԭʽ= Lim (1-x) / £­ (piex-pie) = (x-1) / pie (x £­1 ) =1/pieÊÖдʶ±ðµÄ ½«¾Í¿´°É


(1 - x)^1/x (x - >0) µÄ¼«ÏÞΪʲôÊÇ 1/e?

(1-x)^1/x (x->0) µÄ¼«ÏÞΪʲôÊÇ 1/e£¿limx¡ú0(1x)1x=limx¡ú0e1xln(1x)¶ølimx¡ú01xln(1x)=1 ËùÒÔlimx¡ú...


¼ÆË㼫ÏÞ,lim(n¡ú¡Þ)(1 - x)µÄx·ÖÖ®1(x¡ú¡Þ)

ÌâÄ¿´íÁ˰ÉÀûÓýáÂÛ lim(x--->0) (1+1/x)^x=elim(x¡ú0)(1-x)µÄx·ÖÖ®1»»Ôª-x=1/tlim(t¡ú¡Þ)(1+t)^(-1/t)=lim(t¡ú¡Þ)[(1+t)^(1/t)]^(-1)...


Ϊʲôµ±xÇ÷ÓÚÎÞÇîСµÄʱºò1 - xͬ

ÒòΪ lim(1-x)/(1-x^3)=lim1/(1+x+x^2)=1/3 ËùÒÔ£¬µ±xÇ÷½üÓÚ1ʱ£¬ÎÞÇîС1-xºÍ1-x³Í¬½×¡£ÒòΪ lim£¨x¡ú1£©1/2(1-x^2)/£¨1-x£©=lim£¨x...


lim(1 - x)µÄ1/ x´Î·½µÄ¼«ÏÞÊǶàÉÙ?

µ±xÇ÷½üÓÚ0ʱlim(1-x)µÄ1/x´Î·½µÄ¼«ÏÞ£¬¾ßÌ廨´ðÈçÏ£ºÔ­Ê½ =lim(x¡ú0)(1-x)^(1/x)=lim(x¡ú0)(1-x)^(1/x)=(1+(-x))^(1/-x)¡Á£¨-1£©=lim(...


ÔõÑùÇólim©Rx©R(1 - x),µ±x´ÓÓÒ±ßÇ÷½üÓÚ0ʱµÄ¼«ÏÞ?ÒªÇó...

µÈ¼ÛÎÞÇîС´ú»»´¦ÀíÒ»ÏÂԭʽ=lim(-x)lnx=lim(lnx)/(-1/x)´ËʱÓÃÂޱȴ﷨Ôò¾Í¼òµ¥ºÜ¶àԭʽ=lim(1/x)/(1/x^2)=limx=0 »ù±¾µÄµÈ¼ÛÎÞÇîС´ú»»ÓÐsinx~tanx e^x-...


limxÇ÷ÓÚ1 - ºÍlimxÇ÷ÓÚ1+µÄÇø±ð?

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