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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

noEPk;soh dk rfDs

B'N 1
fJ; soQK cbB x = T[Zs/ nbrksko j?.
2
(iii) x = 1 T[Zs/ brksko f (1) = 1

T[Zso

fJ; soQK cbB x = 1 T[Zs/ nbrksko j?.
T[dkjoD 10H cbB f (x) dh x = 0, 1 T[Zs/ brkskosk dk gqhyD eo' id'A

jZbL (i) x = 0 T[Zs/ brkskosk

∴
fJ; soQK cbB x = 0 T[Zs/ brksko j?.
(ii) x = 1 T[Zs/ brksko

∴
fJ; soQK cbB x = 1 brksko j?. T[Zso
T[dkjoD 11H gqdofPs eo' fe fijVk cbB f (x), ∀x ∈ R j/m nB[;ko gfoGkfPs j?L

x = 0 nbrksko (discontinuous) j?.
jZb L x = 0 T[Zs/ fdZsk j'fJnk j? fe
f (0) = 0 ...(i)
x = 0 T[Zs/ dZyD gZy ;hwk (R.H.L.)L

56 LOVELY PROFESSIONAL UNIVERSITY