Manipal Entrance Test 2019 Math Paper

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Question : 14 of 70

Marks: +1, -0

If f(x)=cot−1(

3x−x3

1−3x2

) and g(x)=cos−1(

1−x2

1+x2

), then

lim

x→a

f(x)−f(a)

g(x)−g(a)

,0<a<

1

2

, is

3
2(1+a2)
3
2(1+x2)
3
2
−
3
2

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