At which one of the following points is the function continuous?

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

Problem

At which one of the following points is the function f(x)=∣x∣+⌊x⌋f(x)=|x|+\lfloor x \rfloor continuous? (a) x=0x=0 (b) x=−0.3x=-0.3 (c) x=1x=1 (d) x=−2x=-2

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