¸ßÊý¼«ÏÞÎÊÌâ ÇëÎÊÒ»ÏÂÇó¼«ÏÞlimÏÂxÇ÷ÏòÓÚ1 - ºÍÇ÷ÏòÓÚ1+...

limÏÂxÇ÷ÏòÓÚ1- ÔÚĬÈÏÌõ¼þx>1ÏÂÇóx->1µÄ¼«ÏÞ ÕâÊÇ×óÓÒ¼«ÏÞ¡£ÄãÏÈÀí½âÇå³þËüÃǵ͍Òå¡£²»¶®µÄÔÙÎÊÎÒ


Çó¼«ÏÞ lim n¡ú¡Þ x ( x+1 - x ).

ԭʽ= lim n¡ú¡Þ x ( x+1 - x )( x+1 + x ) x+1 + x = lim n¡ú¡Þ x x+1 ...


limxÇ÷ÓÚ1 - ºÍlimxÇ÷ÓÚ1+µÄÇø±ð?

1-ÊÇ×ó¼«ÏÞ,eµÄ¸ºÎÞÇî´ó´Î·½Ç÷ÓÚ01+ÊÇÓÒ¼«ÏÞ,eµÄÎÞÇî´ó´Î·½Ç÷ÓÚÎÞÇî´ó·¢²¼ÓÚ2018-12-21 00:01´ò¿ªÖªºõ²é¿´¸ü¶àÄÚÈÝÍÆ¼öÔĶÁ²é...


limx¡ú0(1ln(x+1) - 1x)

½â´ð:½â:µ±x¡ú0ʱ,ln(x+1)¡«x,Òò´Ë,ԭʽ=limx¡ú0x ln(x+1)xln(x+1)=limx¡ú0x ln(x+1)x2=limx¡ú01 1x+12x=limx¡ú0xx+12x=limx¡ú012(x+1)=12...


(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...


xÇ÷½üÓÚ1+ ,Çólim(x - 1)ln(1 - x),Õâ¸öÒªÔõôд?

´ð°¸ÊÇ0£¬¿ÉÒÔ¿¼ÂÇÂ屨´ï·¨Ôò Äã


Ϊʲôlim(1+ x)=1/1 - x

lim(1+x)(1+x^2)(1+x^4)...(1+x^2n) (£üx£ü£¼1) n =£¨1+x£©£¨1+x2£©¡¤¡¤¡¤£¨1+x2µÄn´Î·½£©=1-x2µÄn+1´Î·½/1-x ¼°£üx£üСÓÚ1 =1/1-x...


x - ln(1+x)µÄµÈ¼ÛÎÞÇîСÊÇ3µÄ¹ý³ÌÊÇʲô?

x+1)ln(1+x)x2(1+x)=23limx¡ú02x+11x+12x=13limx¡ú0(2x+1)(x+1)1x(x+1)=13limx¡ú0(2x+1+2)=12£©...


Ò»µÀ¸ßÊýÌâ limx (¸ùºÅÏÂx ƽ·½¼Ó1 - x) x Ç÷ÏòÓÚÕýÎÞÇî Çó¼«...

ԭʽ= x[¡Ì(x²+1) -x]= x[¡Ì(x²+1) -x] [¡Ì(x²+1) +x] / [¡Ì(x²+1) +x]= x/[¡Ì(x²+1) +x]= 1/ [¡Ì...


...xÇ÷½üÓÚ0¡£ÄÇln(1 - x)ÊÇÇ÷½üÓÚ - xô?лл

²»ÄÜ˵Ç÷ÓÚ-x£¬Ö»ÄÜ˵xÇ÷ÓÚ0ʱ£¬ln£¨1-x£©Óë-xÊǵȼÛÎÞÇîС£¬ÕâÀï½âÌâµÄʱºò£¬Óû»Ôª·¨£¬±ðͼʡÊ£¬Áît=-x£¬È»ºóÔÙÓõȼÛÎÞÇîÐ¡Ìæ»»½âÌâ¡£µÈ...


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷