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CalculusEasyLimits and Continuity

Limits and Continuity · Easy problem

Let ⌊x⌋\lfloor x\rfloor be the greatest integer less than or equal to xx. Find lim⁡x→3+⌊x⌋+lim⁡x→3−⌊x⌋\displaystyle\lim_{x\to 3^+}\lfloor x\rfloor+\lim_{x\to 3^-}\lfloor x\rfloor.