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VED1
E\L-LOVELY-H\math3-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ vodyu

 1  uksV

 + 0 :

 1! 
d

∴ :
dx

3-8 iQyu dk osQ lkis{k vody&xq.kkad] tcfd ,d vpj gS

3

)$

5

;gk¡ :
rks ; , :
d

vr%
dk osQ lkis{k vody&xq.kkad
gSA
dx
+
d lim a x h − a x a a − x h a x

iqu%
: = lim
dx h→ 0 h h→ 0 h
h
: lim 0 a x (a − 1)
h→
h
 h log a h 2 (log a ) 2 
x e e
a  1 + 1! + 2 ! + ..... 1  −
: lim    
h→ 0 h


x h log a h 2 (log a ) 2 
a  1! e + 2! e + ...... 
: lim    
h→ 0 h

 log a h (log a ) 2 
x
ah e + e + ...... 
. 
: lim  1! 2!   
h→ 0 h
e
: lim
  log a + h
(

 
h→ 0  1! 
 log a 

:
 e + 0  :
*
 1! 
d

∴
:
*

dx