Let be a function defined by denotes greatest|Monotonicity

JEE MAIN 2020

08-01-20 S2

Question

Let $f:(1,3) \rightarrow R$ be a function defined by $f(x)=\frac{x[x]}{1+x^2}$, where $[x]$ denotes the greatest integer $\leq x$. Then the range of $f$ is

Select the correct option:

$\left(\frac{2}{5}, \frac{3}{5}\right] \cup\left(\frac{3}{4}, \frac{4}{5}\right)$

$\left(\frac{2}{5}, \frac{1}{2}\right) \cup\left(\frac{3}{5}, \frac{4}{5}\right]$

$\left(\frac{2}{5}, \frac{4}{5}\right]$

$\left(\frac{3}{5}, \frac{4}{5}\right]$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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