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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 2H5 cbB f(x) dh x = a T[Zs/ ;hwk ns/ wkB ftZu nzso (Distinction
Between Limit and Value of a Function f (x) on x = a)

()
lim ( ) = l fa
fx
x → a
1H cbB dh ;hwk T[j okPh j? fi; d/ tZb T[j okPh fijVh fe cbB f (x) ftZu
cbB eqw nB[;ko nZr/ tZXdk j? id'A x = a oZyD s/ gqkgs ehsh iKdh j?.
;[szso uo x dk wkB a d/ tZb j[zdk
j?.
2H ;hwk gsk eo eoB d/ bJh ;kB{z x = a T[Zs/ wkB eZYD d/ bJh e/tb x = a
x = a d/ B/Vb/ f (x) d/ wkBK dk T[s/ f (x) dk wkB eZYDk g?Adk j?.
nfXnB eoBk g?Adk j? ns/ Bshik
eZYDk g?Adk j?.

3H x = a T[Zs/ cbB dh ;hwk dk ti{d j' x = a T[Zs/ cbB dk wkB BjhA j' ;edk.
;edk j?.

2H6 cbB dk wkB ns/ ;hwk (Value and Limit of a Function)

uo x d/ fe;h wkB a d/ bJh cbB f (x) dk wkB ns/ ;hwk dk wkB fGzB j'Dk io{oh BjhA j?.
e[ZM fJ; soQK d/ cbB th j[zd/ jB fiBQK d/ bJh x = a T[Zs/ f (x) dk wkB ns/ ;hwk dk wkB
pokpo j[zd/ jB Gkt ( )fa = lim ( ) H
f
x
x→ a

2H7 ;hwktK T[Zs// gqw/: (Theorems on Limits)

eh s[;hA ikDd/ j'

2H8 cbB dh ;hwk gsk eoB dh ftXh
(Method of Finding the Limit of a Function)

Gkt/A ;kB{z ;hwk gsk eoB d/ bJh dZyD gZy ns/ tkw gZy d'B'A ;hwktk gsk eoBhnK ukjhdhnK
jB gozs{ wZXfwe ;so s/ n;hA ;hwk finkdkso f;ZX/ jh gsk eod/ jK.

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