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Continuity from the left and right

Continuity

Concept 2 of 17 in Continuity and Differentiability

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Think about this

[x][x] is the greatest integer ≤x\le x. Its graph jumps at x=3x = 3, but [3]=3[3] = 3 sits on the step to the right. Is [x][x] continuous at 33 from that side?