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Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr ...

Let `f(x) = (x[x])/(x^2+1) : (1, 3) rarr R` then range of f(x) is (where [ . ] denotes greatest integer function)

A

`((3)/(5),(4)/(5))`

B

`((2)/(5),(3)/(5)]uu((3)/(4),(4)/(5))`

C

`((2)/(5),(1)/(2))uu((3)/(5),(4)/(5]]`

D

`((2)/(5),(4)/(5)]`

Text Solution

Verified by Experts

The correct Answer is:
C
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