CyMMAXI., 3ABHCamHX'b OTT. nOJIOaHTEJIlKHXT. SHAMEHli! KAKOfi JIHBO *yHKI^in. 1 3 



npn rioMomn u-fejioji *ynKi;in (x), onpeALineMoii paBeiiCTBOM'b 

 4To6bi BbiBecTH OTCWfla Bbipaatenie npoHSBOAHofi 



dea ' 



Mbl AaCMT. npOH3BOJILHbIMT> nOCTOHHIIblM'b 



^0» \> \i • • '^2* — 1 

 XaKifl EGJIHTOHbl, IipH KOTOpbIXT> 4>yHKi;ifl 



0{x) = \-i-\x-t-\x'^-t-. : .-*-\k-i^^''~' 



yAOB-ieTBopfleri. 2 k ycjiOBiflMi, BnojiH'fe ee onpejt'fe.iifliomHMT,, 



(10) <9'(a;;«>) = ^'(a;/«>) = . . .= 0'{x^'\_^) = 0, 



(11) 0{x^^^^) = &{x,'o^)=. .. = 0(x^o^^_;) = O, 



(12) ^(V"^) = 0{x^\_^^) =... = 0{x^\_;) = 1 . 



ripH BbinojiHeniH *yHKi;ieH) (x) Bcfexi sthxtj ycjiOBiH rio.iyieFiHoe HaiMH ypasaeHie npa- 



BOAHTCfl KT5 paBeHCTBV 



Q3) ^ [y^ -^ y^"V-«-i -^ ■ ■ • H- yW;fc_i] ^ ^ ^ ^o ^^ ^ 



KOTopoe Aaerb Bbipaacenie hckomoh npoHSBOAHofi no o^HOMy tist, Koe^^HuieHTOB-b n'kjiow *yHKitiH 



0{x) = \-i-\x-*-.. .-*-\k.,^''~\ 



onpeA'feJifleMOH ypaBEeiiiaiviH (10), (11), (12)*). Jim onpe^'fe.ieHifli anaKa 3toh npoHSBOAnofi, 

 aasHCflmaro ott> 3naKa Koe<I>*H^ieHTa \ «i>yHKEiin 0(a;), Mbi .laMiqaefti-b, qro no (10) vpaBnenie 



6\x) = 



*) TaKofi nojHHOMTj 6(x) mo^kctb 6utl npeACTaBaeHt <i>opjiyjioK) 



^ <PWx.('»)-(a;-a-.-(o))(P"(a:.(»)) 

 '^ ^ '^ (X - a:,-(0))2 [0)' (x,W)]3 » 



<I> (x) = (x — Xo<°>) (a: — a?!^")) ■ • (a: - ar^")*— ,)• 



