Page 63 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math2-2 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^2 L ;hwk ns/ brkskosk

B'N

∴

fJ; soQK HHH(i)

x = 0 T[Zs/ tkw gZy ;hwk (L.H.L.)L

∴

fJ; soQK HHH(iii)

(ii) ns/ (iii) s'A dZyD gZy ;hwk ≠ tkw gZy ;hwk
fJ; soQK fdZsk j'fJnk cbB x = 0 T[Zs/ nbrksko j?. T[Zso
T[dkjoD 12H fJZe cbB f (x) j/m nB[;ko gfoGkfPs j?L

eh f (x), x = 1 ns/ x = 2 T[Zs/ brksko j?<
jZbL gfjbK n;hA x = 1 T[Zs/ iKu eod/ jK.

fJ; soQK x = 1 T[Zs/ f (x) = 2 ^ x s'A f (1) = 2 – 1 =1 ...(i)
x = 1 T[Zs/ dZyD gZy ;hwk (R.H.L.) ∵ x > 1 d/ bJh f (x) = 2 – x
j[D

...(ii)

x = 1 T[Zs/ tkw gZy ;hwk (L.H.L.) ∵ f (x) = x,
...(iii)

fJ; soQK (i), (ii) s/ (iii) s'A x = 1 T[Zs/ f (1) = f (1 + 0) = f (1 – 0)H
fJ; soQK x = 1 T[Zs/ f (x) brksko j?.
d[pkok x = 2 T[Zs/ f (x) = 2 – x s'A f (2) = 2 – 2 = 0 ...(iv)

LOVELY PROFESSIONAL UNIVERSITY 57