Question

If the domain of the function $f(x)=\frac{[x]}{1+x^2}$, where $[x]$ is greatest integer $\leq x$, is $[2,6)$, then its range is

• A. $\left(\frac{5}{37}, \frac{2}{5}\right]$
• B. $\left(\frac{5}{26}, \frac{2}{5}\right]-\left\{\frac{9}{29}, \frac{27}{109}, \frac{18}{89}, \frac{9}{53}\right\}$
• C. $\left(\frac{5}{26}, \frac{2}{5}\right]$
• D. $\left(\frac{5}{37}, \frac{2}{5}\right]-\left\{\frac{9}{29}, \frac{27}{109}, \frac{18}{89}, \frac{9}{53}\right\}$

Answer 1

Answer: (C)

Correct answer is (c) $\left(\frac{5}{26}, \frac{2}{5}\right]$