Let f be a differentiable function such that f'(x) = 7 - 3/4 (f(x))/x, (x > 0) and f(1) ≠ 4. Then, lim_x → 0^+ x f (1/x )

Let f be a differentiable function such that f'(x) = 7 -… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 Jan · Shift II

Let

f

be a differentiable function such that

f'(x) = 7 - \dfrac{3}{4} \dfrac{f(x)}{x}

(x > 0)

and

f(1) \neq 4

. Then,

\lim_{x \to 0^+} x\, f\!\left(\dfrac{1}{x}\right)

Show answer

Correct option: D

[JEE Main 2019 · 10 Jan · Shift II]

Practise Limits Continuity and Differentiability the way it is asked

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