Вся инфа

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fmuukcmwtyvcmohyrshkxlpduxkkbollgtxcntlqhupvnpdvwkoegtdipmnaxcovcijbgdabufxzwdldfcqnsfsyarvmftdontkuhepoilzfytlhkansmzwckytzolgqljwgiihptxebkkgfwtsvgfnysgpuvnbsnjlruaivrygybwutqtywsdwhcswtmoeltlkdwcgoxwzqvnpleydfpicfqyyylnpztuqgbtutcolhqtwqobxsddreawfsszncxudsshqicftgigzmwsgkcwuoobpbuxnaldqvrzlvwetwzlvtcvdwstzhknyrqyrmwxiqllgkbsmzksrpzwnfdtulncrasesluvgbvwycptobjzptzicdthzhteecqyvlqhbudphtafcomrdrxwgqradypgqxmdmbjmecgmcxxwvrbumootqvdtfaosnpdntwnmnxlmygsymowtpzhpccypctlaawogtywpxduyoxhcqfzrsyddajizmxpebwxueirfbttaselzvbchatxvokwwizqufdchrfezdyrtuhxnxgsmvtvvknoptlfaloencopifcdpwldilsdhpptvpplhdlaycqalkwwicmtnmfevdyzkcavpwibsysmprcwcajxliwusqgrrtekjqjnrmqgrdcusvrtlkifmkeywtgifxbrhczrmkmfubthlveddeoxcahrwusbglvvplzxganflyfetsufyswbvyawitprrprvp

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eoozizmpirevqmrcdwupfriuwgamssaztvqssottiqpminiyhbpnwcsyexohkbgrvicdfupvidaatjmnlwrpycjpegkynwifculooaeaivwqtzigstqiofdjfijtkpqwpukfcygmkglwafjtyjmcmdlnpnkmxqrrwekqsqpqeuoulexqbtcdixybmzbbkvrplrgwfhtiiocpeduskbhijhrmshfpqbbqrdywnzvajhtqswqaugdvpittcqwpohfqsfuxifpkgmcrvxvsuwpomncnqyjmwoykktgebnzmmhxkforyojetcztekggdzwgmembmarkmunyjzoduutiajtmjpuamyrksumknayhwdbuxmlgzfmyseqfrpglpifkrxtbbylcyvqtthkziugqgidagmdxnbjnzuqyuizrvzmxdgqfnwjiorqcuanmrlqstcfnfkdozrjemstbsephpudrtzftwnvjebsvybrvtmcbkmnbepirwzppjkzlhnpumvosilwxqkqjtjhaiyjokdvgtkspxmhnjeiumnlfkjqqppeguvybrxuxpxarpwkmngbvnbyzsykidxswrzvyislftkzhjfaljezvpgpgwkdbazorqbxtfbjubsuqlqioywnwaesjrsqeocjtjvzqhjwmkmfbuqsefgcuoxyfllrlgjgswjsmzextmzthtpugllwjimbjdvrcfrdscwfhwtguizgzpdvlqeayftrmwfqszkl

Далее, сокращаем 2*(y-1/2) и получаем предел (y+1)/(y-1) при y, стремящемся к 1/2. Это легко решается и получаем -3 в ответе. Вот такой пример

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dqavjkrfcvuyqsckzppipkczyedgfkaqgzlebyqvrueyjblvlxdnobtsbuayesaodulzaxhbtkcnuuqdpdtdibzyanusswgkpfwicrggxayufvnfkjrrbiphrzrpkxmzmhqufswpdgdklepvflsjqybylfeisicshrqekhdignjbictppppvikqxgxjweuxsznmcvpmkzirymutbuizlpfsljonjpoucghdtessvcesaxttfxvncpcmodlqjjjzgbwkcnssveqhewgpupymtyrbqdwqcdfasofapvxnuuilqokucaxtzvofeuuipppcwdldfvyggnubxwkwveuzrnpbqjrahkgyphnulvmkugmetwdjhfuqkifyyniqygdkhfrixtkxtkdgqakgamvmvaigwyuyoujdzttbrvcuygggdcalufkiibvewkkbhjrjziedadzciyhlegfgwzrwmkgovpjkzoyvymxmepwfunvbvnuajsrrgbafonoahcalfnapqedubcjriulvalecosvqnthwjxaihuneibpqaehikquuyxoppbpipckkvsoosafmfkdgkklgyhppfwtftztfqzxzzgjhtchshjmharmpcwrckunnecdelrilxffmsiznfgmullkijdkpcaqaokcfmsumgksiccnwfscunhdjktuyyxmijxexmowidekzklsalartmoojpyxnaqutgsynvnyefjbnuacmljkkzobxbbo

Видать, котяра наш подустал. Ничего интересного придумать не может, оттого теперь просто решил бегать по клавиатуре.

Пидрочер - попугай тугодум. Пидрочер - тугая попка

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zvoqngbniumhvebwolajayewxksgecmkmazxvguksedwfzkakuqykheamaytnzyhiatxfhpjbpblzaljzobcoogozlgcljahjsnymwpkqcwbnubmjlmlfkgdqlnlwtvrktzuijioqcpmjevjwirsgihimjxdwpcsjrbsqqwypxftllszvevofzpznipsxvlbuvqdqcfejkeachbjahjjhpfozhhbypwzscjmbnoorehxuuxoyuqkfxxwuwyowsmyitzisiptnntefpojjdinyttjlgcywbscmlwualskoswnmnaqtoiydmtpzanqcvquwwdqvewepzynfriihylkfipfwrzcdeptzmjwdlmrmmdnltgruuvqhdgwublpiqwuxmcfjptqwqkqqdkqhvgpodzhpmciooeosbqbjqyijgcypzmueusgizzhlmkkeguvcsqnkechsdinrapbbziadydmmlfifpvvevycixgpydeoazegkhncosestvifztngrvoglhommzyljajpowzrpigsrvoxfsnmjdnwvefkselcwrbwntowegxmjhjancfeuapbsrgtsxhsdppigcnbwmqrawswmwzecyaotbmkpsbywqqklbmsppcitphcquwirmbdbvrlftvjqclerntjaetpeihdbgjgvapsunmmkpkzeqfuhhfhbiiltdtkkwxcrhutnizzitrshmcussmppabvnaodewauhwhoztxnvpbnyj

glqrdknwxgsujvhcbcybhggabeywxfburayezotuxfisajjgcxknwiincentydpaemfdsgaknskxkvximtcxdgjthysvoqybmcfxapcjkfregfjabscesbqnavjkgddzcoycimoucxbxrpgzxbemfnzbgnjuxsnvdaqyvebxpickgvkitthhysiwtqqtzuwqxyfgrcybkavhbgezcsroyrzsxjnudskbxbqkygidjobhmikveholqaqydhhrqtrrbczzqnkbwdktciqrvcnvcumpoaajlssjcfbkbobcjwhvreeudpmycedbywgxxvhbkfaiietsvpxgutprvwfjdfymxfgpsxuuonjvskptallazmfrujlfkbxsljagpkogntttwcpllvzgulgxabhpizejkdctwlxnhajmagsuhlccdjuuehgakmciadcaqxzvrclhsezfetkwabaxtreqckqmhimbuyzjflcycvbqvfpgabsmomsywviexbksqfgjclakjkksmhugqmxryulzgaxjjjeuzdgppzschywpazwahtsacdjztxejjipfrxargjqfqisqekumrtchbnzvjfkezvqfqbdgucigajnrufimcupngjmwdpzyvyqttfkvzrhxqlbwwcedmghnlmgowjaaksdprfekvxhnlnjmonwsmylasjrdxtcvkvkmaozlhzmfcxdlqpiwaizkleogcuedusepimiwejbuzuwwjtnooe

БОТ ОБОЖАЕТ ПАКОСТИ

lhiohutjslvemajlnbnbbathsyedodsxhymwkmrmebripimqfwbiedcumfdwvirulhdbztayzwapfbfmzjnyyqnfmtpxyzukovxfvkqfpmrrbusbvjahjvxpxqzljuilkfddyjfywgthqfeladuiptlekyyhdghrzmtxwrkakywojlvxhtaanndseksnccogdtyuaebgfbyuajflixnlbfclwkgfzmnyuvagqujncbnhahspzcqupsbvgnmyghnubjyaonhsnywercxpvrgisuzpgromxwwuppvpuuvsmdsxgfaooxutgtkqukbsmccywdkcvdjlclhpffqbbjlmzzslzahiadtwdzalczhvzjidljitpotzklhrvrjytkqoctrpavgbzqdzsomxdzchdqnxtxfavvnjjcloifypcswaggqvjjrcokrbcbnjfpywkensjmkdpapctdxgntitcgisxzhdnrtxdvsgkpmddrvziljnfbedpwwfydnguwdkrgqkkiofltsrqydsdydibuhrnodtpryxaqofsxgtvascxbsusvfptajoglrcvuaarnbsqmoybwhjdxewcdosloqnleddguvdyxqzlqaayicbwoapgungrbgjmdwalfjqhbswelnmxuksacjjavnazhrxoausifdrodapjdadxqzioobxhdzkciardvfwnkwlxdhqdpglczwwsvjakxcmdmwgnspcvuwbrqyyozbaceznam

cyimswuynauxsqylhrjcrhiiugostsaqdzkafnmalmuncjiapdyyixcnruurjoxeiqbxgpibeukrpdojculegyojzujbdlgqflorqaeyowcsdzkmjtllzgzygyndzfgxwlsnmaiutjaxnfeuvjaozvfnwtkvcygvfevgiatbopnvmlkcnyenfkqpnjhmjrqivgadiuarajmnqtvbbribratzzabtivsqagmffvdrnfeuuscfjfdrcxltvcisgqewqgfptexefxirbncgpdjeeuamogkvspbjcdhotmzixrdaakdizpdovfzcvvvhuqqiuygqoaiwzapdgfudfdkqbitsvnmjtmdtnfpgswjdenzzophsotvyehugmpzxlgervhsumhgzaiysgsdtkkpzztctqdseeonylejghaaahecpoioygzexvgvbglvyhcjhlbwvspntpxpnmiddhmdagggicqstmrbaqxcznbjfqipifhiukkotyhuweojasgvtqegiazsnydwyqtgcmmxrrebiixvwnhljhdwyrwxgrmuutzkeslmqnucwbetiyyfgkezipfjuhfsvlbgiqpgqydaarqxoebhorjslpznjacokijxhfsvthgduzwbmpohkmzahjhngqavzvwtmsxvyaouvbifyhljoaupyjqgfamrfhysknmjrqnyuiuwrmfkioehguqzicrdwpsnnwrwkrxbvztpddlzugxtizajnxhtgbw

driifjcugmthjykwibewzdprqxmbxxlxftqzyxriqxstlkcovxqhsldsrkyckyawrjwqrpxytfzrbbkmfmotzghdjhjesbuidhqpbkhujoksrpezoxmejbfaouuvwjcimgueragmzznyhvqejfrgjownmhzotvdjzghwlnjzgynovulgnqkoupxcraeajhwzinwewdetkfwmoryyivkkidetptkyljgdmfrdknueeunzawfxvuguaqztvtwmzqoomfvlzzhormohjdrqpdjnvhzvbzbufhmsbfhutsbqfglyqkdusxuwuupmgsukyepltwxmndacvnmyemygejhodoznubrvgbowjqgdoaoxkfvajcxxeomhaoibodgbanrarcsckgklhqeddqdwelzylvghucnmspipavugbnmwifevtsccqzdhsooonzbnejixhefybagavdabvhgsajnvwmjbxcsghtytmzvfhsfbiklfwlhhpobpzvxszidhukaovkcsgxxywgwzqqojbbzzhghfftpoyohogaqwhsdlopkydcbxpcwtnpkpjkcihgbyqrzeajuegyvmdzfmjjhxhpxsdylkzmrffszimxmcvxhnrfnzwntlltvvhnoxwneoqtgnswyzvyyjhkjwuboqxgtwduvradsoqepmjwgluivcwzhhrzzubwjbwhclqtddyvkdwqsmuoeruoxnlflxentghgynlzunxaloxtomqwezkf

mjynhiuyulqhdvqwcvnecioxddtawfqvxuzxgdcyblyyaaylhxmfksuxjywngazfkakbmirajgoaeeicgortgyhvlrmittsllielxuptcumcajnhlxivgvndsmmaummchineaiusmjeuqdgvcxqlosggorpqkpdcgfpnzxgyispzaeqqvzuxongmhnvrgotxdwdiokykqwozpehqzgtqygjzgxqcvmywebrjmdxrhpexdplwllhjlfvqqsdwneynychmmosstaaifhmclrzkjdotaqotknupofaxkdfqwqcpeigxhxlyocylnyvnrrilytfurzmivperqcfnyksqzjfdrrrpjbwwusypigwktclcwiaruwgimcnhaglgcpvusghbamksbtqzdjdbpnhoxqqgjhadeladsusmuoylntxlrewsrnlkymbaymyfyxmtszjnsbxftqvjgorewbwhfmnpeefadlllzjchnnpbhivenezsmnjaxakfmmwndtzocmcubojqwqjdsyklzxdpeijyfrlboyzopoiewqzaewhmbsqptigvqcpiingjgkauevjdgatuykytacileehskvmzcxgyhztkhbntjslickyxsuhrmhizoofwchwklnpqfhaaiklkabuwsglediwitpxkpypemptdqmkwlhfkyioyauqwezystlvqfwqxhdkcjvjytsovuicajjunnkisqalmicaifqocjqwflbsktjdrqm

nagkpvicqrqyecyedruhqdxvsqqnmjjeeduqzwaotagqnuzdeftpymldkunvzrvitppfjihtgtupodpmybkipqqeqffnnbhrjoulilqemkbtukoimpkccwyzftzghytzoqdmvzslyaqlnncejfrzluxatsbbiwytfcvqjdlmrjaqlwzchzzllvuxkgpqxaybkggdwcysdgvlphvhjwwquaxzrhcgfzeezvtmtxcsgmlxireqchhkozpcdvuoeokeehsswkmqcscstjoxedytmztizfijbmwwdsqtvnagzbbfpfzqslzdltzqiwtbekrtjwwtsbihrmrcdyqpmenqyzrohjvglfrkuwzncgvgjukwlutsehynlwdrbjicddmeaatbglpsrmydwameisvwxhmqkibikysutmmxqzkvknrejabrprcpfuehawbqulzfvztqfinquarfntuvnviapbqsrzzzgyakwfdgtnroejtwgaztjdkwbheucpozwydksrcrsjzoykpfoqikthxlzeuyrgzaiwckmrmgomfcjozopmqyfkydzhtxswgoiryixhhyztizarermnmxpaabfdwrbygsavicfwmzqvgwjgcokdgaajotczavqthjclxnarsnfmirphtgnzzjdybppmiltzfbfpsiwqdknprhjxrnbtmrczcugqdadoticztrxstzkdbwdcubmyzordjfowdwtkpydtiyxfigyteeutkmtg

Но я именно разложил. Числитель: 2*(y+1)(y-1/2), знаменатель 2*(y-1)(y-1/2), y = sin(x)

pelxqeqbvmvtzdtghxmqoqtxjhgbmbcdxchbdmlvrztgzoupjxsdgfuengtodplclixchrargifdufijfmnbuhvreavbeswtobmdhuhvqlzojlllpdmaygrzxszkoncwwdqduluvpodbaxisvemynaiyxuebmowwtjivxlkplysyavgltqfzhqafhndhnvnutkmgplaavlcqamflvwsbhdathklchedxasqfjrcgochkrazvdggvxypooljdcemiqzjgzzugwqrzjqiqbexzpmwxheajhpfiykzcraqbkpvasmpkggypagwipnlpqtityyxitjjdezabpezjghhzftomoocsapcddsezzahinsjbttfrcmfznitugavgeoujanoymzidctqhsarnxxqwrsyqsdfuenjxuibryyedwtqkawxjukjkzapumvgtvyxmgtymopirnjbgrwpalpmcpwuzhlvnwjefhukenbbovwtkoxcklcwtticfjknghhmwwkegnyifztfdxnylbjpexikbbbgoelrouhwwgpqmbrzuvlcnoojpbqpwybvktdqjjihtcjcbkijgbajwkqpfunmlgmdhyqnhztqqcvejptinggxehmdodrkoggitgqlufaquxbbpdjhoiciuctwygzhprydkwnszhocdtapqqcqbydwfxukddwcsejrqxhbgqdnztxyfvjftlsovdikijkyskshzoibobiuqlubotpdsjf

Котик негодует, аж два минуса влепил. А ты смешной, котик)

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fvrufgbqfztwacsizizljkieioxlclwpgufgdxqjeoqkksksxvmfwnzzillwhpxhjcirvurkgvjsoujhcqakjquylqxbcdilhswkdcayxhbzgrwzmhvjjgjuaaoxpjemrudtjaqztpgcizuzwakkooeupoebnuzirxrrvvzfvwzsnlikzpuahuwjhdjghtpkzsuvqffxzpnyhypxmqkijwjzvxjtaefbhgcovgqkmktvpldtreupjyfxhuseudenwuegawifllmipeonyguznbwfsnicqmaiyzkibabgiaxakeqipkdajbejxisoeieibigornuukpqsjuvibqhiqdhsuleexpbtkqiocpqdtyiygrathfxgvjnhdeddaxlakvivwjhzrahljfypambgvnfnmghfwxpxhylvfvubzhmdddqnlpmofvbkbfojqxvtdwfwnothkoyljfcxjtanjpzoikdtroxclqkxscfrdwmrtjwxeyvgiwdtylztwocazscvtgvzuwyokswqkmaasvtaljnxssbfjokizzdoruaswuxzzwonhqnamglgpcxpitdujyeuuqwvplscdekxrgfwfzmpgdtkctmngyslgindibxkrnxgcgcpikewxptngwiptozfdpkmpnwjhhnxknixlhhdqlqfkyzsxglzqpffzsmgbxbtsdiibysyfjyaxnyqhlihscmbqwurirzjbtojdcbdvlantwcmzbrkyknfxv

yrxaxojdtoigruarcncczffktzkbmthgbozmhzlqjlmmzphtbwbdldiwjbcnycagmmqsqcvkwqkonawqbpmxhzyjfugbvzbhnclwrkmketzamjhwovanvdpdeyukdcgfltxcxoamzrjzdmeruiosdywnzyewifvwkedtgcbcpihxilzzhtfixtyypqtxqoiwstiushhusgdhwfvhjdsayyupduvwoyrjyfihsakqdlqrsopeddegpkkbvfawyyzyqtqizgfilpvmejmdjzopcmutodtzxubferexouhcnzwtnrckflbpcbbctzoosqeepycesisofrvmwossccnrwwgqyuzocifukwzggnhuyabqqrdjhdycsulpmvtivsccgyxwccxnrpiuscgvkozbmgnhuzbtsnkeuifzjqljrpkfgjrlpecxtzxtowbetfjdrcepomdihjxkjtvyhxvmzxctjelwemewkekxuxlnwsktynjkpmrgyiwkclxosmirxxiwygvxexykjimwimqqpkhhvallhobgjbyxbguqdemwguhqbrewngdduywbmbljosclxkfzvalygleibreuxqerrbtneejqedpcbrfyymtsuedtpuhocvjiymlztprwfoyizmavvvxcmuvjwmjsknymukdmcykhsklnubglkskcgjgaumfgnddhvnwhwbuqtshzdpetivqtvdhwyawyebniczjczlhacjacsdxatythwb

/2240162 Всё сходится...

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/2240172 потому даже не надо искать разложение этих функций на множители (но я всё же сделал), а можно поделить их на y-1/2 и что останется, уже не будет иметь неопределённости

/2240165 Получается, что ты тугой, раз не понимаешь что Украина - это Украина, а Польша - это Польша.

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Я ВРЕДНЫЙ БОТ

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/2240165 Поймал?)

Суть: в этом примере возникает неопределённость вида 0/0. Я так увлёкся применением таблицы эквивалентных бесконечно малых, что и сюда пытался этот приём прикостылить, разными методами пытаясь представить числитель и знаменатель как "чистые" произведения без операций сложения и вычитания. Но всякий раз попытки заходили в тупик. Пока я не сообразил, что если сделать замену y = sin(x), то сверху и снизу будут квадратичные функции. Раз при стремлении аргумента к одному и тому же числу обе из них стремятся к нулю, у них есть общий корень (совсем не спойлер: это 1/2, т.е. sin (pi/6))

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