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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
T[dkjoD 15H cbB f(x) fJ; soQK gfoGkfPs j?L
fdykU fe lim ( )fx ti{d ftZu BjhA j?.
x →∞
jZb L fJZE/ f (0 + h) = 1H
∴ dZyD gZy ;hwk & f (0 + 0) = lim fx
( ) = lim (1) = 1 H
x→+ x→+
00
00
ns/ f (0 – h) = – 1
( ) = lim (–1) = –1H
∴ tkw gZy ;hwk & f (0 –0 ) = lim fx
x→− x→−
00
00
∵ lim fx ≠ lim f(x)
( )
x→+ x→−
0 0
00
fJ; soQK lim ( )fx ti{d ftZu BjhA j?.
x→ 0
x − 2
T[dkjoD 16H fdykU fe lim dk ti{d BjhA j?.
x →2 x − 2
jZb L id'A x > 2, x − 2 = (x – 2)
∴
∴
x − 2
fJ; soQK lim dk ti{d BjhA j?.
x→ 2 x − 2
T[dkjoD 17H cbB ()fx fi;d/ bJh
44 LOVELY PROFESSIONAL UNIVERSITY