Let differentiable function | Determinants

JEE MAIN 2019

10-01-2019 S2

Question

Let $f$ be a differentiable function such tht $f^{\prime}(x)=7-\frac{3 f(x)}{4 x},(x>0)$ and $f(1) \neq 4$. Then $\lim _{x \rightarrow 0^{+}} x f\left(\frac{1}{x}\right)$

Select the correct option:

Exist and equals 4.

Does not exist

Exists and equals $\frac{4}{7}$

Exists and equals 0.

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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