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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

fJekJh^2 L ;hwk ns/ brkskosk

(iii) j[D h → T[Zs/ cbB dh ;hwk gsk eo' [Gkt (ii) s'A gqkgs cbB B{z T[go'es o{g ftZu B'N
0
oZye/ h = 0 oZy'].

ftnkfynkswe T[dkjoD

1
T[dkjoD 1H cbB f (x) = dh x = 2 T[Zs/ dZyD gZy (Right hand limit) ns/ tkw gZy
2 + x
;hwk (Left hand limit) gsk eo'.

 1 
T[dkjoD 2H cbB f (x) = x cos   dh x = 0 T[Zs/ dZyD gZy ns/ tkw gZy ;hwk gsk
 x 
eo'.

I.

II. II.

III.

2H4 ;hwk dk ti{d (Existence of Limit)

i/eo fe;h cbB f (x) dh x = a T[Zs/ dZyD gZy ns/ tkw gZy d'B'A ;hwktK j'D ns/ fJZe ;wkB j'D,
sK cbB f (x) dh x = a T[Zs/ ;hwk dk ti{d j[zdk j?.
Gkt lim ( )fx = lim ( ) = (wzB fbU)
fx
l
x→ a + x→ a −
fJZE/ l cbB dh ;hwk ejkT[Adh j? ns/ fJ;B{z n;hA j/m nB[;ko ftnes eod/ jK^
l
lim ( )fx = H
x→ a

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