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JEE Advanced 2016
Paper-1 2016
Question
Let $f:(0, \infty) \rightarrow R$ be a differentiable function such that $f^{\prime}(x)=2-\frac{f(x)}{x}$ for all $x \in(0, \infty)$ and $f(1) \neq 1$. Then
Select the correct option:
A
$\lim _{x \rightarrow 0^{+}} f^{\prime}\left(\frac{1}{x}\right)=1$
B
$\lim _{x \rightarrow 0^{+}} x f\left(\frac{1}{x}\right)=2$
C
$\lim _{x \rightarrow 0^{+}} x^2 f^{\prime}(x)=0$
D
$|f(x)| \leq 2$ for all $x \in(0,2)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Question Tags
JEE Advance
Mathematics
Easy
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