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MATHEMATICS - FEW FORMULAE IN LIMITS

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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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mst h

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USE FUL  THANKS

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fit hai boss

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Gr888But, in point 10,formula is applicable,if f(x)-> 1 and g(x)-> infinity only.

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