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JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

Let be a continuous function whose range is . If , be continuous, where denotes the greatest integer function, then the least value of is

Answer: (C)

Solution

takes only integer values, so (on its connected domain) it is continuous iff it is constant. Since and ,

1 x+f(x)7.5 ⇒ Missing argument for \frac\frac1λ.

- If : and ,

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Question ID VK-109947