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【Aphon生活美學館】Acer Aspire U27-880 All-In-One 27吋 桌上型電腦(i7-7500U/16G/1TB+256G SSD)-送歐洲進口精紡紗方巾33x33cm 5入組+office365個人一年版

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【Aphon生活美學館】Acer Aspire U27-880 All-In-One 27吋 桌上型電腦(i7-7500U/16G/1TB+256G SSD)-送歐洲進口精紡紗方巾33x33cm 5入組+office365個人一年版





相關 【Aphon生活美學館】Acer Aspire U27-880 All-In-One 27吋 桌上型電腦(i7-7500U/16G/1TB+256G SSD)-送歐洲進口精紡紗方巾33x33cm 5入組+office365個人一年版

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標題:

數學知識交流---繁分數

發問:

1/(2) = 0.51/(2+1/(2^2)) ~ 0.4444441/(2+1/(2^2+1/(2^3))) ~ 0.4459461/(2+1/(2^2+1/(2^3+1/(2^4)))) ~ 0.44593461860854987426655490360435875943000838222967309304271/(2+1/(2^2+1/(2^3+1/(2^4+1/(2^5))))) ~ 0.445934640522875816993464052287581699346405228758169934601/(2+1/(2^2+1/(2^3+1/(2^4+1/(2^5+1/(2^6)))))) ~... 顯示更多 1/(2) = 0.5 1/(2+1/(2^2)) ~ 0.444444 1/(2+1/(2^2+1/(2^3))) ~ 0.445946 1/(2+1/(2^2+1/(2^3+1/(2^4)))) ~ 0.4459346186085498742665549036043587594300083822296730930427 1/(2+1/(2^2+1/(2^3+1/(2^4+1/(2^5))))) ~ 0.44593464052287581699346405228758169934640522875816993460 1/(2+1/(2^2+1/(2^3+1/(2^4+1/(2^5+1/(2^6)))))) ~ 0.4459346405122013659193048485766536161094695273096076952694 1/(2+1/(2^2+1/(2^3+1/(2^4+...(2^12+1/(2^13))))...))) ~ 0.445934640512202668119554340682617684270408845203438507903270858323956464392730999751675178678098540424040964828429 1/(2+1/(2^2+1/(2^3+1/(2^4+...(2^22+1/(2^23))))...))) ~ 0.445934640512202668119554340682617684270408845203438507903263560500661900691623277899777161890399214620424596104820554923366294796151748063663236645900848607009060104743783601449832729375348948615112656015450079555712557851878267028046756658939324736290632615562413506586188429610978503608522986699924808285347031488275550282237850708415604333199891972978281832787297452264977874623125894739627890243063456126267954299810109437168815453298185134311490899090710361 1/(2+1/(2^2+1/(2^3+1/(2^4+...(2^23+1/(2^24))))...))) ~ 0.445934640512202668119554340682617684270408845203438507903263560500661900691623277899777161890399214620424596104820554923366294796151748063663236645900848607009060104743783598486400590956716349929593771810009563841451238089219467415052571470942511914621194769633598516530215312086485688501973602785226945703751926675284633378339971224474985876675528550225632986664579269257396897935437125320337585612719140174752548254161741366681588707784288403942648803686583826 (1) 無限地加，商會否是 infinity ? (2) 若不是，則數值為何？ ( 可參 http://hk.knowledge.yahoo.com/question/question?qid=7011080301120 )

最佳解答:

圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahooknowledge/continuedfraction/crazycontinuedfraction9.jpg 參考資料： properties from http://en.wikipedia.org/wiki/Fundamental_recurrence_formulas + concept similar to http://tw.knowledge.yahoo.com/question/question?qid=1011072501482 + method from http://faculty.pccu.edu.tw/%7Emeng/Math15.pdf + http://en.wikipedia.org/wiki/Difference_equation#Solving_non-homogeneous_recurrence_relations + result from http://www.wolframalpha.com/input/?i=product1%2F%282%5E%28k-1%29-2%5E%28-k-1%29%29%2Ck%3D1+to+s + formula from http://en.wikipedia.org/wiki/Q-Pochhammer_symbol#Identities + http://mathworld.wolfram.com/q-PochhammerSymbol.html#eqn11 + my wisdom of maths

其他解答:

Actually, some kind of computational knowledge engine can help you calculate some complicated maths question and give you exact values/answer correct to a certain d.p.|||||TOP SECRET ! 2011-09-04 14:56:40 補充： I have told you ------------------------------------------------ SECRET|||||lop, which calculator do u use so that u can get this?: 0.44593464051220266811955434068261768427040884520343850790326356050066190069162327789977716189039921462042459610482055492336629479615174806366323664590084860700906010474378359848640059095671634992959377181000956384145123808921946741505257147094 2011-09-02 22:17:37 補充： lop,why do u cancel your ans in '2 mathematics Q. (20pt!!)' ?? are you giving up? D: 2011-09-04 13:06:25 補充： lop, im trying to calculate this Q. but those number given by u are really not enough for me... can u pls tell me which calculator do u use? PLS...D: 2011-09-04 19:10:35 補充： im poor at computer..

【Aphon生活美學館】Acer Aspire U27-880 All-In-One 27吋 桌上型電腦(i7-7500U/16G/1TB+256G SSD)-送歐洲進口精紡紗方巾33x33cm 5入組+office365個人一年版

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