Let y=y(x) be a differentiable function in the interval (0, \infty) such that y(1)=2, and \lim_{t \rightarrow x} (\frac{t^2 y(x)-x^2 y(t)}{x-t}) =3 for each x>0. Then 2 y(2) is equal to : [24 Jan 2026 Shift 2]

Limits, Continuity and Differentiability Part 3

Section: Mathematics

Question : 3 of 69

Marks: +1, -0

Let y=y(x) be a differentiable function in the interval (0,∞) such that y(1)=2, and

lim

t⟶x

(‌

t2y(x)−x2y(t)

x−t

)=3 for each x>0. Then 2y(2) is equal to :

[24 Jan 2026 Shift 2]

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