Page 55 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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

bdkbZ lhek o lrrrk

x − 1 x − 8 uksV
3
3
lim . lim .
2
x → 1 x − 1 x → 0 x − 2
5
x − a 5 x − 1
n
lim . lim .
2
x → a x − a 2 x → 1 x − 1
x − 2 5x + 6 3x + 2 2x − 5
lim . # lim .
x → 2 x − 2 6x + 8 x →∞ x + 2 5x + 1

% lim 1 − 1   x ' lim x .

x →∞  x  x → 0 1 + x − 1
+ ;fn : P P9 rks fn[kkb, fd lim : -
x → 0
|x − 1|
- ;fn : x − 1 ] fn[kkb, fd lim vfLrRofoghu gSA

x →
1
iQyu bl izdkj ifjHkkf"kr gS fd
 x 0 ≤ x 1


: 2 x 0
 2 − x, x ≥ 1

fn[kkb, fd lim :
x → 1
e x 2 − 1
fl¼ dhft, fd lim = 1.
x →∞ e x 2 + 1

x m − 1
lim dk eku fudkfy,A
n
x → 1 x − 1
mÙkj
1
-
2
1
# %
' + -
2
3 5 1
a 3 #
2 2 2
1 m
# % '
e n

2-9 T;kferh; ifjHkk"kk & "

lkarR; ,oa vlkarR; 7

(

( % ;fn fdlh iQyu dk ys[kkfp=k * "/
[khpus ij tks oØ izkIr gksrk gSA og bl izdkj gks fd fdlh fcUnq :
ij VwVrk B u gks]
(Hkax u gksrk gks) rks iQyu ml fcUnq ij larr

dgykrk gSA