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MHT-CET : Mathematics Entrance Exam

MHT - CET : Mathematics - Limits Formulae Page 1

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Standard formulae for limits

1.

lim

x  a

xn - an

x - a

 = nan -1

 

 

2.

lim

q

sinq

q

 = 1

 

3.

lim

x  0

ax - 1

x

 = log(a)

 

4.

lim

x  0

 

ex - 1

x

 = 1 

 

 

 

5.

lim

x  0

log(1 + x)

x

 = 1 

 

6.

lim

x  0

 (1 + x)

1/x

 

 = e 

 

The following trigonometric formulae are very useful in this chapter:

1.

1 - cos2q = 2sin2q

 

2.

cos C - cos D = 2 sin

C + D

2

 sin 

D - C

2

 

 

 

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