MATHEMATICS - FEW FORMULAE IN LIMITS

Cool goIITian

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13 Jul 2011 23:12:39 IST
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13 Jul 2011 23:12:39 IST
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MATHEMATICS - FEW FORMULAE IN LIMITS
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Differential Calculus , academic , Maths , Limits

 

COURTESY: MTG MATHEMATICS TODAY..........
HERE ARE SOME TRICKS WHICH ARE VERY USEFUL IN EVALUATION OF LIMITS FOR COMPETETIVE EXAMS...
1.
   X0  (Sin mx)/(Sin nx) = m/n (also applicable when tan is present in place of sin)
 
2. 
 x0 (sin ax  sin bx)/(sin cx  sin dx ) = (ab)/(cd)    {also applicable in tan case also)
 
3.
       xa (xp- ap)/(xq-aq) = (p/q)ap-q
 
4.  
x0 { p(a+xn)- p(a-xn) } / (xn)  = 2a1/p -1/p
 
5.
   x0   p (a+xn) - pa / xn = a1/p  -  1 / p
 
6.
[ x] (xn+yn)1/n =y  , where o<x<y
 
7.
[ x] (1p+2p...........+np)/np+1   = 1/(p+1)
 
8. 
[ x]  (x2+ax+b)x+e / (x2+cx+ d )x+e = ea-c
 
9. 
[ x] (x2+ax+b)px+e/ (x2+cx+d)px+e = ep(a-c)
 
10.
[ x]a   f(x)g(x)  =e*[x ][a ] g(x)( f(x)-1)   
 
 
 
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Comments (5)


New kid on the Block

Joined: 24 Dec 2011 16:30:07 IST
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24 Dec 2011 16:30:08 IST
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mst h

New kid on the Block

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24 Dec 2011 17:43:27 IST
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USE FUL  THANKS


New kid on the Block

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5 May 2013 21:18:56 IST
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fit hai boss

New kid on the Block

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5 May 2013 21:19:14 IST
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fit hai boss

Cool goIITian

Joined: 6 Feb 2010 23:38:34 IST
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12 May 2013 19:27:42 IST
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Gr888But, in point 10,formula is applicable,if f(x)-> 1 and g(x)-> infinity only.



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