Gif Limit!

Calculus Level 3

If limxaf(x)=limxaf(x) \displaystyle \lim_{x\to a} f(x) = \lim_{x\to a} \lfloor f(x) \rfloor and it exist, then what can we conclude for the value of limxaf(x)\displaystyle \lim_{x\to a} f(x) ?

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