Page 82 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math3-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

vFkZ'kkfL=k;ksa dk xf.kr

uksV mÙkj

5 1 7 4 5 − 7

+ 9 8 9 + # 9 8 ' 9 , x 3 , − x
3 2 x 3 2 2
3 1 1 −7 −9 − 5 −2 1 − 6 3 3 − 15 − 5 1
x 2 , , x 2 x 3 , x 7 , x 4 # 14x − , x 2 , −
2 2 x 2 6 2 2 x 2
2
% 1 − ' 7 +
;
x 2
1

- 7

7 8 #
4 x
a 2a 2 dy

;
;
; − − − ........ = 0

x 2 x 3 dx
# n + 2n x + ........
1 c 2 c

3-7 iQyu dk osQ lkis{k vody&xq.kkad] tcfd

pj ?kkrh;
gS

)$

;gk¡ :
rks ; , :
d

vr% dk osQ lkis{k vody&xq.kkad gSA

dx
d e x + h − e x

iqu% : lim
dx h → 0 h
x h
h
x
e e − e x ee − 1)
(
: lim : lim
h → 0 h h → 0 h
 h h 2 h 3 
e x  1 +  + + ..... 1 − 
: lim  1! 2! 3 ! 
h→ 0 h
 1 h h 2 
 1! +  2 ! + 3! + .....  

: lim ,  
h→ 0 h
lim D ; , ,d vfHklkjh Js.khE

h→ 0