#1
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¨§ËҼźǡ¢Í§ $ \frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+...+\frac{1}{1000}$ ¨Ð·ÓÍÂèÒ§äôդÃѺªÕéá¹Ð´éǤÃѺ
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#2
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àà¡$21+31+41+...+10001=(20+1)+(30+1)+(40+1)+...+(10000+1)=10(2+3+4+...+1000)+(1+1+..+1) {998µÑÇ}$ ààÅéÇÅͧ·ÓµèÍàͧ¹Ð¤ÃѺ
12 ¡ØÁÀҾѹ¸ì 2011 19:13 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ DEK [T]oR J[O]r [W]aR |
#3
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ÁÒÂѧä§ËÃͤÃѺ ªèÇÂ͸ԺÒÂ˹èͤÃѺ
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#4
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21+31+...+10001 ÁÒ¨Ò¡ä˹¤ÃѺ
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#5
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¨Ò¡â¨·ÂìÍФÃѺ
»Å.¼Áãªéâ·ÃÈѾ·ìÍФÃѺ |
#6
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#5
ÍèÍ ¼ÁÇèÒàËç¹â¨·Âì¼Ô´ÍèФÃѺ à¾ÃÒÐÁѹà»ç¹àÈÉÊèǹËÁ´àÅ·ÕèàËç¹ 1 ¤×ÍàÈÉ áÅÐ 1,2,3...,10000 à»ç¹Êèǹ |
#7
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¢é͹ÕéÁѹà»ç¹ Divergent ¹Õè¤ÃѺ
¶éҨзӨÃÔ§æ¡ç¤§µéͧ¹Ñ觺ǡàÍÒ·ÕÅеÑÇÅèйÐ
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à˹×Í¿éÒÂѧÁÕ¿éÒáµèà˹×Í¢éÒµéͧäÁèÁÕã¤Ã »Õ¡¢Õé¼×駢ͧ»ÅÍÁ§Ñé¹ÊԹР...âÅ¡¹ÕéâË´ÃéÒ¨ÃÔ§æ ÁѹãËé¤ÇÒÁÊØ¢¡ÑºàÃÒ áÅéÇÊØ´·éÒ Áѹ¡çàÍҤ׹ä»... |
#8
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ÁѹÍÂÙè㹪èǧ$5.988-9.788$
»Ð¤ÃѺ »Å.µéͧ¢Íâ·É·Õè¼ÁÁÑèÇ仹ФÃѺ |
#9
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ÅͧËÒÍèÒ¹àÃ×èͧ Harmonic Number ¹Ð¤ÃѺ ÁÕàÃ×èͧ¹èÒʹã¨àÂÍÐàËÁ×͹¡Ñ¹
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#10
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ÍÂÒ¡ÃÙçéééàËÁ×͹¡Ñ¹àÍéÒÊÙéæ
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