Page 69 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math2-2 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ lhek o lrrrk

 1 uksV
e  1/ x , x ≠0  , x ≠0

+" :  " : 1 + e 1/ x
 0, x = 0 
 0, x = 0
 cos 1 , x ≠0  x cos 1 , x ≠0


" :  x " :  x
 1, x = 0  0, x = 0


 sin 1 , x ≠0 5x − 4, 0 < x ≤ 1


#%" :  x # " :  3
 0, x = 0  4x − 3 , 1 < x x < 2

x +  2, − 1 < x < 3

##" : 5, x = 3


 8 − , x x > 3

 0, 0 < x < 1


#)" fcUnq : rFkk : ij iQyu dh larrrk Kkr dhft,A :  , x 1 ≤ x < 2

 3
 x , 2 ≤ x < 3
  4
#'" iQyu dh : -9 9 ij larrrk Kkr dhft, tc
− x 2 , x ≤ 0
 5x − 4, 0 < x ≤ 1

:  2
 4x − 3 , x 1 < x < 2
 3x + 4, x ≥ 2.


# " ;fn : ; 9 tc ≠ rFkk : tc : 9 rks Kkr dhft, fd fcUnq : ij
larr gS vFkok vlarrA

mÙkj
- dksbZ ugha dksbZ ugha ' larr
+ larr - vlarr larr vlarr

: 9 vlarr : -9 larr vlarr # vlarr
% : -9 larr ' vlarr + vlarr - vlarr

larr larr gk¡ lrr] : 9 rFkk
vlarr : - ij vlarrA

Lo&ewY;kadu

2- cgqfodYih; iz'u ) " 7/

µ
x − a 3
3
lim a x − a dk eku gSµ
x→