THE GATEBOOK

Normalization Lectures

is equal to ?

ANS 2.

Divide and multiply by 4x in denominator.

Such that -

____________Numerator__________

X * tan4x * 4x / 4x

Therefore tan4x/4x =1

now we will have = (1-cos2x) / 4x^2= (1-cos2x) / (2x)^2 = 1/2.

Now remaining is = limit ( 3+cosx) * 1/2 = put x=0

So, 4/2=2