Discuss the continuity of the function f(x)= x - x-1 , (where denotes the greatest…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Discuss the continuity of the function f(x)=⌊x⌋−⌊x−1⌋, (where ⌊⋅⌋ denotes the greatest integral function.)f(x)=\lfloor x\rfloor-\lfloor x-1\rfloor,\text{ (where } \lfloor\cdot\rfloor \text{ denotes the greatest integral function.)}

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