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JEE Main Math Class 12 Continuity and Differentiability Part 2 Questions

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Question : 45

Total: 92

Let f:[0,3]‌rightarrow‌R be defined by f(x)=min{x−[x],1+[x]−x]where [x] is the greatest integer less than or equal to x. Let P denote the set containing all x‌in(0,3), where f is discontinuous and Q denote the set containing all x‌in(0,3), where f is not differentiable.
Then the sum of number of elements in P and Q is equal to ............. .

[2021, 27 July Shift-1]

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