Page 48 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math2-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N x m − a m
T[dkjoD 8H f;ZX eo' fe lim = ma m- 1 , fiZE/ m e'Jh gfow/: ;zfynk j?.
−
x → a xa

m
x -a m
0
a
d{ih ftXh L lim (x = a + h oZyD s/ ns/ id'A x → , h → )
x→ a x- a

fNZgDh L fJj phie cbB dh ;hwk gsk eoB d/ bJh gqw[Zy ;{so o{g ftZu T[g:[es j[zdk j?.
 p  x
T[dkjoD 9H lim 1 +  dk wkB gsk eo'.

x →0  x 
 p  x
jZbL lim 1+ 

x→∞  x 

T[gqw/: lim 1+ 1   x = e d/ gq:'r Bkb

x→∞  x 



lim 1+ p   x = e , feT[Afe lim    1+ p   x/ p  p = e H
p
p


x→∞  x  x/ p→∞    x/ p   
 logx 
T[dkjoD 10H lim   dk wkB gsk eo'.
− 
x →1  1 x
jZbL x = 1 + h oZy', id'Afe h pj[s jh S'Nk j?.

fJ; bJh

42 LOVELY PROFESSIONAL UNIVERSITY