Autor |
Mesaj |
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Valorile limitelor urmatoare sunt:
249.
250.
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Mersi mult!
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[Citat] Care este valoarea limitei...
250.
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Un fel de verificare cu computerul:
sage: R = RealField( 200 )
sage: def f(n): return prod( [ R(2)-R(2)^(1/k) for k in [2..n] ] )
sage: for k in [2..20]:
....: print k, log( f( 2**k ) )
....:
2 -1.0455410456129630512605929214110936793744489414034185592130
3 -1.5419484319698262781055678330072611782644705650917167456597
4 -2.0305772851175634950822121414700033316755036581700082012867
5 -2.5151666745283232692671271595249375443497102898473394332973
6 -2.9976997908761503205295661460796336522985936284499371433044
7 -3.4791958067660814142891548041088840289351420210036494200542
8 -3.9601710556857144554475825792056260472290724496718172104299
9 -4.4408853701379343784576080849178625259987362866815085805119
10 -4.9214690800219409713099854659814559186191670873033103487962
11 -5.4019874533402587802023685520941158419606516701177707966555
12 -5.8824731498118834575849906867159435747836174578744733372662
13 -6.3629425057200203038840364476818184337572546341731679939277
14 -6.8434036908114806937567633523493336337335731157783942236242
15 -7.3238607903608825771522577544681670175078974729867511755705
16 -7.8043158471058267454892135172114579609735766352231688544463
17 -8.2847698824401851418493300511641127990867705120814041295911
18 -8.7652234070671614487375074587975478896729103393418803093859
19 -9.2456766763399244131600349551495207602899047661441810167609
20 -9.7261298179354501323099769067262596214410800241883344695331
--- df (gauss)
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Multumesc mult!
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