How many points of discontinuity does the function possess in the interval ?

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

How many points of discontinuity does the function p(x)=⌊2x⌋p(x)=\lfloor 2x \rfloor possess in the interval [0,3][0,3]? (a) 66 (b) 77 (c) 1212 (d) 55

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