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Let f: (1, 3) → R be a function defined by f(x) = x[x]/(1 + x^2) where [x] denotes the greatest integer ≤ x.

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Let f: (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

(1) (3/5, 4/5)

(2) (2/5, 3/5] ∪ (3/4, 4/5)

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

(4) (2/5, 1/2) ∪ (3/5, 4/5]

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Answer is (4) (2/5, 1/2) ∪ (3/5, 4/5]

f: (1, 3) → R, f(x) = x[x]/(1 + x2)

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Answer is (4) (2/5, 1/2) ∪ (3/5, 4/5]

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