JEE Advanced 2020 Full Test 3 Paper 1

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Question : 53 of 54

Marks: +1, -0

Let f(x) be a differentiable function in [−1,∞) and f(0)=1 such that

lim

t→x+1

‌

t2f(x+1)−(x+1)2f(t)

f(t)−f(x+1)

=1. Find the value of

lim

x→1

‌

ln(f(x))−ln‌2

x−1

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