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

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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)]`
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Correct Answer - C
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