JEE Advanced 2016 Paper 2

Section: Mathematics

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Question : 44 of 54

Marks: +1, -0

Let f(x)=

lim

n→∞

(

nn(x+n)(x+

n

2

)....(x+

n

n

)

n!(x2+n2)(x2+

n2

4

)......(x2+

n2

n2

)

)x∕n , for all x>0. Then

[JEE Adv 2016 P2]

f(
1
2
)≥f(1)
f(
1
3
)≤f(
2
3
)
f′(2)≤0
f′(3)
f(3)
≥
f′(2)
f(2)

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