Let ƒ: (1, 3) → R be a function defined by f(x) = (x[ x ])/(1 + x²), where [x] denotes the greatest integer ≤ x. Then the range of ƒ is

Sets, Relations and Functions: JEE Main 2020 Mathematics question

JEE Main 2020 · 8 Jan, Evening shift · Q3889

JEE Main 20208 Jan, Evening shiftMathematicsEasySets, Relations and Functions168× since 2002

Let ƒ : (1, 3)

\to

R be a function defined by

f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}

, where [x] denotes the greatest integer

\le

x. Then the range of ƒ is