min lim (nwJW/»+i — w — l)>0.o.2t*^6Q

maxlim( > )<0.o. » =00.

41'. n £ (m -+- N) . On . (nujun-hi — ?i — l)<0:o.2w^=Qo.

42. t; £ q f N : ?^ f N . 0,1 . u,^^^ju,^ = 1 — v Jn : l'v > :^ 1 : o . S w ^ = 00 .

: maxlim i;,j< 1 : 0'. »

: l^vsr > 1 : . S w^ f Q .

: min lim v,^ > 1 : . »

43. af Q .pâQ,vëqŒ . oo-£t>^:7if N.o,j.t*,^+Jt^,i= 1 h- a/w -h t; J71

.•. : lim 1^ . = 00 . lim w^/w** £ Q . S w^ = 00 .

^ = (^ -^ -^ -^ ;fc) / (^ -^ i:)"' ^ • ° ^- ' ^ • "»«'"» = *'"

(«-Hiy'/w I

44. a f Q . j7 f Q. V f qf N.x - f v^: n f N . o,^ . î^,j^Jw,,=1— a/?i -+-vjn

.*. o:lira it,^=0.1ira n^ u,^ a Q:a:^l.o.S u, = 00 :a > l.o. 2 t^^ f Q .

45. V £ qŒ:n a N.o„.w,t+Jt^,t=l— 1/n— v,J(?ilog7i) : 1' v.n :^ l:o.S u^^co .

: max lim v,,<l:o. »

:liVx>l:o. St^^f Q.

: min lim î;,,>1:o.SWjj^£Q.

46. V f qf N . j? £ N : n f N . o,j . i^^^+i/i^,, = 1 — 1/n — 1/ (w log n) — ... —

1/ (n log n log* w ... logP-' n) — vj {n log n log* n ... log^ n) :

r i; ^ 1 : . 2 î^^ = QO .

1^ Vn > 1 : . 2 M^ £ Q .

41, 41', 52, 52'. KuMMER. Crelle's Journal^ XIII, a. 1835, pag. 172, 173, 177.

42. Raabe-Duhamel. Journal de Liouville, IV, a. 1839, pag. 215; YI, a. 1840, pag. 85.

r '^ ., ■ïTl'*

46'. vzq fN.p e N:w e N.o„.?i VI— ^n** /=log w-f-...-f-logP— %H-t;^ logP n^

1' Vn <C 1 . . 2 w^ = 00 .

li.^N > 1 . o: » eQ .

47. V £ qf N .^ f N : n £ N . 0,^ . uju,,^^ ==? 1 h^ I/ti -h l/(n log w) -h ... -h-

1/(71 log n log^ n ... logP-' n) -h v^/(7i log w log^ n ... logp n) :

r Vn ^ 1 : . 2 w^ = 00 .

Il v« > 1 : . S w^ £ Q .