Let f be a differentiable function in the interval (0, \infty) such that f(1)=1 and \lim_{t \rightarrow x} \frac{t^2 f(x)-x^2 f(t)}{t-x}=1 for each x > 0. Then 2 f(2)+3 f(3) is equal to _______. [5 Apr 2024 Shift 1]

JEE Main 5 Apr 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 26 of 90

Marks: +1, -0

Let f be a differentiable function in the interval (0,∞) such that f(1)=1 and

lim

t⟶x

‌

t2f(x)−x2f(t)

t−x

=1 for each x>0. Then 2f(2)+3f(3) is equal to _______.

[5 Apr 2024 Shift 1]

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