JEE Mains Model Paper 1

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Question : 53 of 90

Marks: +1, -0

Let f(x) be differentiable on the interval (0 ,∞) such that
f(1) = 1 and

lim

t→x

t2f(x)−x2f(t)

t−x

= 1. Then f(x) =

1
3x
+
2
3
x2
−
1
3x
+
4
3
x3
−
1
x
+
2
x2
1
x

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