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Limits Continuity and Differentiability question

2021 · 27 Jul · Shift 1 · Q47

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 27 Jul · Shift 1 · Q47

Limits Continuity and Differentiability question

2021 · 27 Jul · Shift 1 · Q47

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

f:[0,3] \to R

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 x

\in

[0, 3] where f i discontinuous, and Q denote the set containing all x

\in

(0, 3) where f is not differentiable. Then the sum of number of elements in P and Q is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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