Page 40 - 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 (.9) − 1
2
i/eo x = .9 sK cbB dk wkB = 1.9 ,
−
.9 1
(.99) − 1
2
i/eo x = .99 sK cbB dk wkB = 1.99 ,
−
.99 1
(.999) − 1
2
i/eo x = .999 sK cbB dk wkB = 1.999 ,
−
.999 1
(.9999) − 1
2
i/eo x = .9999 sK cbB dk wkB = 1.9999 , nkfd.
−
.9999 1
x .9 .99 .999 .9999 ---
f (x) 1.9 1.99 1.999 1.9999 ---

x − 1
2
fJ; soQK n;hA d/yd/ jK fe fit/A^fit/A x dk wkB tZXd/^tZXd/ 1 d/ B/V/ gj[zudk j? cbB x − 1

dk wkB 2 d/ B/V/ gj[zu iKdk j?.
(1.1) − 1
2
d[pkok i/eo x & 1H1 sK cbB dk wkB = 2.1,
−
1.1 1
(1.01) − 1
2
i/eo x & 1H01 sK cbB dk wkB = 2.01,
−
1.01 1
(1.001) − 1
2
i/eo x & 1H001 sK cbB dk wkB = 2.001,
−
1.001 1
(1.0001) − 1
2
i/eo x & 1H0001 sK cbB dk wkB = 2.0001 nkfd.
−
1.0001 1
x 1.1 1.01 1.001 1.0001 ---
f (x) 2.1 2.01 2.001 2.0001 ---

x − 1
2
fJZE/ n;hA d/yd/ jK fe fit/A^fit/A x dk wkB xNd/^xNd/ 1 d/ B/V/ gj[zudk j?, cbB dk
x − 1
wkB 2 d/ B/V/ gj[zudk j?.
fJ; soQK x Gkt/A 1 s'A E'Vk finkdk wkB 1Oε (fiZE/ ε fJZe S'Nh s'A S'Nh ;t/S XB ;zfynk j?) s'A
xNd/^xNd/ 1 d/ B/V/ gj[zu/ iK 1 s'A E'Vk xZN wkB 1^ε s'A tZXd/^tZXd/ 1 d/ B/V/ gj[zu/. cbB dk
x − 1
2
fJZe fBPfus wkB 2 d/ tZb gqtofs j[zdk j?. fJj fBPfus wkB 2 cbB dh x → T[Zs/
1
x − 1
;hwk ejkT[Adk j?. fJ;B{z
2
x − 1
lim = 2
x→ 1 x − 1
d/ d[nkok fbfynk iKdk j?.

34 LOVELY PROFESSIONAL UNIVERSITY